<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2023 Workiva-->
<!--r:5d6da46c-3c66-468b-944c-94a7eb8d30f7,g:61e243ad-e07c-496c-81f7-2b0caae38812-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://colonybank.com/role/ConsolidatedBalanceSheets" xlink:type="simple" xlink:href="cban-20230630.xsd#ConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/ConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsAndFederalFundsSold_d1409732-532f-46db-bea1-f26441fa292f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsAndFederalFundsSold"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_CashCashEquivalentsAndFederalFundsSold_d1409732-532f-46db-bea1-f26441fa292f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_3d18a2d7-ffe2-469e-8e86-5650f39bd3a6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_3d18a2d7-ffe2-469e-8e86-5650f39bd3a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_8522952a-1dab-4e56-8c54-6a87ff4fbd89" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_8522952a-1dab-4e56-8c54-6a87ff4fbd89" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FederalHomeLoanBankStock_a21a5637-c668-4401-9612-edea264f9a21" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FederalHomeLoanBankStock"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_FederalHomeLoanBankStock_a21a5637-c668-4401-9612-edea264f9a21" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LoansReceivableHeldForSaleNetNotPartOfDisposalGroup_c41bc697-157e-43e4-9fc7-5155e5770a32" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LoansReceivableHeldForSaleNetNotPartOfDisposalGroup"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_LoansReceivableHeldForSaleNetNotPartOfDisposalGroup_c41bc697-157e-43e4-9fc7-5155e5770a32" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss_c6ca2951-d562-4536-a31f-61a6880058c3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss_c6ca2951-d562-4536-a31f-61a6880058c3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_d7a8b547-58c0-4f1f-8bb1-91ff7c34a62f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_d7a8b547-58c0-4f1f-8bb1-91ff7c34a62f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherRealEstate_0612c239-b228-43ed-b646-448ae49ed4b2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherRealEstate"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_OtherRealEstate_0612c239-b228-43ed-b646-448ae49ed4b2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_35d7cf04-838e-4315-bd58-83af46aa1e71" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_Goodwill_35d7cf04-838e-4315-bd58-83af46aa1e71" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_b638143e-ba74-43b2-bea7-0576a983e126" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_b638143e-ba74-43b2-bea7-0576a983e126" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashSurrenderValueFairValueDisclosure_a1368330-59a5-41c6-bef6-e33ffeadfa30" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashSurrenderValueFairValueDisclosure"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_CashSurrenderValueFairValueDisclosure_a1368330-59a5-41c6-bef6-e33ffeadfa30" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet_9337dbdc-5a5f-4dc8-89d3-9aaf01dd6bb1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_DeferredIncomeTaxAssetsNet_9337dbdc-5a5f-4dc8-89d3-9aaf01dd6bb1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssets_26326469-bfab-40ca-987c-8601cbd3724c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherAssets"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_53757921-f1dd-495e-8da6-b7d37d6331ea" xlink:to="loc_us-gaap_OtherAssets_26326469-bfab-40ca-987c-8601cbd3724c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss_ac191b46-64a4-4f5a-b8ac-a52dc2a3fe3e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableExcludingAccruedInterestBeforeAllowanceForCreditLoss_9d060d2e-750c-4722-897c-ffaa71726ae4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableExcludingAccruedInterestBeforeAllowanceForCreditLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss_ac191b46-64a4-4f5a-b8ac-a52dc2a3fe3e" xlink:to="loc_us-gaap_FinancingReceivableExcludingAccruedInterestBeforeAllowanceForCreditLoss_9d060d2e-750c-4722-897c-ffaa71726ae4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableAllowanceForCreditLossExcludingAccruedInterest_bee758c4-c9b3-49d5-8402-0af6a22b3801" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableAllowanceForCreditLossExcludingAccruedInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableExcludingAccruedInterestAfterAllowanceForCreditLoss_ac191b46-64a4-4f5a-b8ac-a52dc2a3fe3e" xlink:to="loc_us-gaap_FinancingReceivableAllowanceForCreditLossExcludingAccruedInterest_bee758c4-c9b3-49d5-8402-0af6a22b3801" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_c7ba7ec5-2f4f-4f05-9b13-4254a033ebcf" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Deposits_ee4f2231-e514-416b-8142-1b921c6c7ea0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Deposits"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_c7ba7ec5-2f4f-4f05-9b13-4254a033ebcf" xlink:to="loc_us-gaap_Deposits_ee4f2231-e514-416b-8142-1b921c6c7ea0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankAmountOfAdvancesByBranch_71e0c986-eafe-449c-bcad-6f0375ad8e90" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankAmountOfAdvancesByBranch"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_c7ba7ec5-2f4f-4f05-9b13-4254a033ebcf" xlink:to="loc_us-gaap_FederalHomeLoanBankAdvancesBranchOfFHLBBankAmountOfAdvancesByBranch_71e0c986-eafe-449c-bcad-6f0375ad8e90" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLongTermDebt_2c420351-4534-49f8-a69b-b34e5091388a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherLongTermDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_c7ba7ec5-2f4f-4f05-9b13-4254a033ebcf" xlink:to="loc_us-gaap_OtherLongTermDebt_2c420351-4534-49f8-a69b-b34e5091388a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities_cffb68bb-4b61-4c42-8644-4271c7744b15" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherLiabilities"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_c7ba7ec5-2f4f-4f05-9b13-4254a033ebcf" xlink:to="loc_us-gaap_OtherLiabilities_cffb68bb-4b61-4c42-8644-4271c7744b15" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_cd7f9d70-0f81-45bd-b119-92c9d528483a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_34a952b2-bf2b-48e8-90f7-9fd310ff96ea" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cd7f9d70-0f81-45bd-b119-92c9d528483a" xlink:to="loc_us-gaap_Liabilities_34a952b2-bf2b-48e8-90f7-9fd310ff96ea" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_6ea5ca2b-fe70-4d64-8a43-b4e721a47c41" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cd7f9d70-0f81-45bd-b119-92c9d528483a" xlink:to="loc_us-gaap_StockholdersEquity_6ea5ca2b-fe70-4d64-8a43-b4e721a47c41" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Deposits_4f4a334f-2dc6-481b-901f-8499921ed841" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Deposits"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestBearingDepositLiabilities_f70cb8c6-193c-4cf7-82d0-faeea342c3ab" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestBearingDepositLiabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Deposits_4f4a334f-2dc6-481b-901f-8499921ed841" xlink:to="loc_us-gaap_NoninterestBearingDepositLiabilities_f70cb8c6-193c-4cf7-82d0-faeea342c3ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDepositLiabilities_8a04ccc2-0b90-4fdd-b250-c10beedbf204" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestBearingDepositLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Deposits_4f4a334f-2dc6-481b-901f-8499921ed841" xlink:to="loc_us-gaap_InterestBearingDepositLiabilities_8a04ccc2-0b90-4fdd-b250-c10beedbf204" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_77aad277-c4de-4a05-b81d-3aa81b8d875a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:to="loc_us-gaap_PreferredStockValue_77aad277-c4de-4a05-b81d-3aa81b8d875a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_088e309d-c264-4fcf-8e0b-783171eccd8b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:to="loc_us-gaap_CommonStockValue_088e309d-c264-4fcf-8e0b-783171eccd8b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_3c882202-79c6-48db-9e87-a754e9b34c47" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:to="loc_us-gaap_AdditionalPaidInCapital_3c882202-79c6-48db-9e87-a754e9b34c47" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_7e11fce2-be51-4a82-8203-3dc52acc5fa3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_7e11fce2-be51-4a82-8203-3dc52acc5fa3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_c480fd8b-db77-4fb9-8b21-591152389d66" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_32e2ad77-ffac-4160-9ff8-06dbac492e7d" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_c480fd8b-db77-4fb9-8b21-591152389d66" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsAndFederalFundsSold_04073a95-7fef-481f-a910-5ec3ec44369a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsAndFederalFundsSold"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndDueFromBanks_84d74ea2-00e2-473f-80a3-c9292037d80a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashAndDueFromBanks"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsAndFederalFundsSold_04073a95-7fef-481f-a910-5ec3ec44369a" xlink:to="loc_us-gaap_CashAndDueFromBanks_84d74ea2-00e2-473f-80a3-c9292037d80a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestBearingDepositsInBanks_ce841a34-d95d-4964-8794-2c57ce67b247" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestBearingDepositsInBanks"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsAndFederalFundsSold_04073a95-7fef-481f-a910-5ec3ec44369a" xlink:to="loc_us-gaap_InterestBearingDepositsInBanks_ce841a34-d95d-4964-8794-2c57ce67b247" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/ConsolidatedStatementsofIncomeunaudited" xlink:type="simple" xlink:href="cban-20230630.xsd#ConsolidatedStatementsofIncomeunaudited"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/ConsolidatedStatementsofIncomeunaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LaborAndRelatedExpense_dfe471c5-443c-48d2-a87f-e918d1853941" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LaborAndRelatedExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_LaborAndRelatedExpense_dfe471c5-443c-48d2-a87f-e918d1853941" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OccupancyNet_e2006850-4b4d-4670-a3cc-39bc6cecf937" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OccupancyNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_OccupancyNet_e2006850-4b4d-4670-a3cc-39bc6cecf937" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InformationTechnologyAndDataProcessing_822b73d7-e826-468a-9114-fe961759abe4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InformationTechnologyAndDataProcessing"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_InformationTechnologyAndDataProcessing_822b73d7-e826-468a-9114-fe961759abe4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfessionalFees_66f0a8fe-9c2a-4d83-b407-0b193640ed4a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProfessionalFees"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_ProfessionalFees_66f0a8fe-9c2a-4d83-b407-0b193640ed4a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketingAndAdvertisingExpense_5178eae6-b5f7-4899-a80b-bf1f55e7b67e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_MarketingAndAdvertisingExpense"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_MarketingAndAdvertisingExpense_5178eae6-b5f7-4899-a80b-bf1f55e7b67e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Communication_205d401a-d424-4c8d-af8c-0628aad60195" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Communication"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_Communication_205d401a-d424-4c8d-af8c-0628aad60195" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoninterestExpense_63482d67-7d12-4532-bfc1-43b0f9485a70" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherNoninterestExpense"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestExpense_a41b0fdb-576d-4ef6-9ede-44b4dfcdd933" xlink:to="loc_us-gaap_OtherNoninterestExpense_63482d67-7d12-4532-bfc1-43b0f9485a70" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_f157ebc2-43d0-49c1-97a2-a08e69771eda" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperating_1bf06313-6922-4d79-90aa-aa9676889b00" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestAndDividendIncomeOperating"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_f157ebc2-43d0-49c1-97a2-a08e69771eda" xlink:to="loc_us-gaap_InterestAndDividendIncomeOperating_1bf06313-6922-4d79-90aa-aa9676889b00" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_dfa8c5e8-b8b0-4a8a-8483-575c9fa15d53" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_f157ebc2-43d0-49c1-97a2-a08e69771eda" xlink:to="loc_us-gaap_InterestExpense_dfa8c5e8-b8b0-4a8a-8483-575c9fa15d53" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_6e6fc5c6-9dcf-48dd-beb5-31ed7c1dcca9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_4dd25dc9-1252-442f-a45b-3bf1ca9dbcf4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6e6fc5c6-9dcf-48dd-beb5-31ed7c1dcca9" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_4dd25dc9-1252-442f-a45b-3bf1ca9dbcf4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_be800f81-9fd1-423b-b38c-9be5684a547c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6e6fc5c6-9dcf-48dd-beb5-31ed7c1dcca9" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_be800f81-9fd1-423b-b38c-9be5684a547c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_820b6f4e-e37b-48bd-8fae-870194a7e4f3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_b565a911-6972-4f40-8ff5-0c47373247dd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_820b6f4e-e37b-48bd-8fae-870194a7e4f3" xlink:to="loc_us-gaap_InterestIncomeExpenseNet_b565a911-6972-4f40-8ff5-0c47373247dd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanLossesExpensed_375cab1f-3dca-4959-9180-ca3235182e4a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProvisionForLoanLossesExpensed"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_820b6f4e-e37b-48bd-8fae-870194a7e4f3" xlink:to="loc_us-gaap_ProvisionForLoanLossesExpensed_375cab1f-3dca-4959-9180-ca3235182e4a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_3952ca8b-5c58-40b3-b234-475ad4c0c327" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDeposits_57741039-97a4-4e58-94a8-944654e30891" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpenseDeposits"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_3952ca8b-5c58-40b3-b234-475ad4c0c327" xlink:to="loc_us-gaap_InterestExpenseDeposits_57741039-97a4-4e58-94a8-944654e30891" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseFederalFundsPurchased_31cf6003-385f-4048-b97c-c64f5144f3bd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpenseFederalFundsPurchased"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_3952ca8b-5c58-40b3-b234-475ad4c0c327" xlink:to="loc_us-gaap_InterestExpenseFederalFundsPurchased_31cf6003-385f-4048-b97c-c64f5144f3bd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseFederalHomeLoanBankAndFederalReserveBankAdvancesLongTerm_4920b625-3e52-4918-9f15-90a9230d9f45" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpenseFederalHomeLoanBankAndFederalReserveBankAdvancesLongTerm"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_3952ca8b-5c58-40b3-b234-475ad4c0c327" xlink:to="loc_us-gaap_InterestExpenseFederalHomeLoanBankAndFederalReserveBankAdvancesLongTerm_4920b625-3e52-4918-9f15-90a9230d9f45" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOther_7f2a7f72-56c1-484b-8b43-5a3b6f49ab27" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpenseOther"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_3952ca8b-5c58-40b3-b234-475ad4c0c327" xlink:to="loc_us-gaap_InterestExpenseOther_7f2a7f72-56c1-484b-8b43-5a3b6f49ab27" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestIncome"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_b77fbcb9-f83a-4f9b-b661-80def4a0b4ad" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_b77fbcb9-f83a-4f9b-b661-80def4a0b4ad" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSalesOfLoansNet_fdff6160-936a-4c25-b685-51c37831e1ec" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainLossOnSalesOfLoansNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:to="loc_us-gaap_GainLossOnSalesOfLoansNet_fdff6160-936a-4c25-b685-51c37831e1ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_4816c25a-a500-4557-be77-fa57122a4087" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtAndEquitySecuritiesRealizedGainLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:to="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_4816c25a-a500-4557-be77-fa57122a4087" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BankOwnedLifeInsuranceIncome_e29118ae-bc74-4179-94c8-2eccf4607241" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BankOwnedLifeInsuranceIncome"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:to="loc_us-gaap_BankOwnedLifeInsuranceIncome_e29118ae-bc74-4179-94c8-2eccf4607241" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncomeOtherOperatingIncome_2b73f6c4-49ef-4f72-b038-bf826421d9f1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestIncomeOtherOperatingIncome"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NoninterestIncome_35f559cd-d3af-40e9-86c2-8a0f5ec3dca0" xlink:to="loc_us-gaap_NoninterestIncomeOtherOperatingIncome_2b73f6c4-49ef-4f72-b038-bf826421d9f1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ba110ccd-5163-4ef5-9385-fbafe32dc73f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_8952edc0-486e-42c9-8b6b-f5ca84065cb2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ba110ccd-5163-4ef5-9385-fbafe32dc73f" xlink:to="loc_us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_8952edc0-486e-42c9-8b6b-f5ca84065cb2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncome_a15306d9-b69e-4dad-9d7b-ea63767d3bef" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ba110ccd-5163-4ef5-9385-fbafe32dc73f" xlink:to="loc_us-gaap_NoninterestIncome_a15306d9-b69e-4dad-9d7b-ea63767d3bef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpense_7626db59-05d2-44d0-b753-b5778f6fae5f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestExpense"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_ba110ccd-5163-4ef5-9385-fbafe32dc73f" xlink:to="loc_us-gaap_NoninterestExpense_7626db59-05d2-44d0-b753-b5778f6fae5f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperating_e763acfa-900c-49ed-8902-bd73065b38e2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestAndDividendIncomeOperating"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndFeeIncomeLoansAndLeasesHeldInPortfolio_6053b117-4c8a-4d57-8298-739de63ec103" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestAndFeeIncomeLoansAndLeasesHeldInPortfolio"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_e763acfa-900c-49ed-8902-bd73065b38e2" xlink:to="loc_us-gaap_InterestAndFeeIncomeLoansAndLeasesHeldInPortfolio_6053b117-4c8a-4d57-8298-739de63ec103" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperating_c3d10c32-da21-4019-858e-a08222555bde" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeOperating"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_e763acfa-900c-49ed-8902-bd73065b38e2" xlink:to="loc_us-gaap_InterestIncomeOperating_c3d10c32-da21-4019-858e-a08222555bde" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_FederalFundsSoldInterestBearingDepositsWithFinancialInstitutionsAndShortTermInvestments_104e9af4-18ab-46e1-ae4b-dbfd1545b7ab" xlink:href="cban-20230630.xsd#cban_FederalFundsSoldInterestBearingDepositsWithFinancialInstitutionsAndShortTermInvestments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperating_e763acfa-900c-49ed-8902-bd73065b38e2" xlink:to="loc_cban_FederalFundsSoldInterestBearingDepositsWithFinancialInstitutionsAndShortTermInvestments_104e9af4-18ab-46e1-ae4b-dbfd1545b7ab" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/ConsolidatedStatementsofComprehensiveLossIncomeunaudited" xlink:type="simple" xlink:href="cban-20230630.xsd#ConsolidatedStatementsofComprehensiveLossIncomeunaudited"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/ConsolidatedStatementsofComprehensiveLossIncomeunaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_1dcf5691-af55-467e-b9a5-783ca3599987" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_d913d635-453d-44ea-a9c1-fd2d54160d66" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_1dcf5691-af55-467e-b9a5-783ca3599987" xlink:to="loc_us-gaap_NetIncomeLoss_d913d635-453d-44ea-a9c1-fd2d54160d66" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_501243e4-6c6e-43da-93a2-6b8f26a056ed" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_1dcf5691-af55-467e-b9a5-783ca3599987" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_501243e4-6c6e-43da-93a2-6b8f26a056ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax_7561a93f-7dad-43fb-b222-a1ef62c8a256" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax_7561a93f-7dad-43fb-b222-a1ef62c8a256" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityTax_97d61155-e166-4536-a5a8-9ea05c2db9d9" xlink:href="cban-20230630.xsd#cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityTax"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityTax_97d61155-e166-4536-a5a8-9ea05c2db9d9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_9f41989f-e8e7-4b24-b49d-ad73e61e014c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_9f41989f-e8e7-4b24-b49d-ad73e61e014c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityBeforeTax_a7121729-2134-4749-b9de-53da36947dc8" xlink:href="cban-20230630.xsd#cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityBeforeTax"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_cban_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForInvestmentTransferredFromAvailableForSaleToHeldToMaturityBeforeTax_a7121729-2134-4749-b9de-53da36947dc8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax_d7a91639-fa22-4ba9-97b2-6ef5fffb13fa" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax_d7a91639-fa22-4ba9-97b2-6ef5fffb13fa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax_9abfce48-f2b0-4306-bd1e-9b2453a226b1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax_9abfce48-f2b0-4306-bd1e-9b2453a226b1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_4ec5d160-ba67-490c-817a-69f956d3b2b8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_4ec5d160-ba67-490c-817a-69f956d3b2b8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax_8cf24822-fe6b-458b-bfb8-121cf6ab5771" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_b03f423e-32a2-4866-971e-ba11d14a6513" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax_8cf24822-fe6b-458b-bfb8-121cf6ab5771" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/ConsolidatedStatementsofCashFlowsunaudited" xlink:type="simple" xlink:href="cban-20230630.xsd#ConsolidatedStatementsofCashFlowsunaudited"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/ConsolidatedStatementsofCashFlowsunaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfOtherDebt_e4109e62-1996-49d3-ade9-897bef9d5226" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RepaymentsOfOtherDebt"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_RepaymentsOfOtherDebt_e4109e62-1996-49d3-ade9-897bef9d5226" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock_c48d45d5-4c51-440a-8ea7-c935588fceb0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_PaymentsOfDividendsCommonStock_c48d45d5-4c51-440a-8ea7-c935588fceb0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSubordinatedLongTermDebt_0f7b42b6-ce2d-42fc-8978-324aa345ea20" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfSubordinatedLongTermDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSubordinatedLongTermDebt_0f7b42b6-ce2d-42fc-8978-324aa345ea20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfFederalHomeLoanBankBorrowings_cb53635d-695b-4fb5-9bbe-bc81c4d64ee2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RepaymentsOfFederalHomeLoanBankBorrowings"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_RepaymentsOfFederalHomeLoanBankBorrowings_cb53635d-695b-4fb5-9bbe-bc81c4d64ee2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_9cc2886a-51f9-438b-9191-1924cda5fe03" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_9cc2886a-51f9-438b-9191-1924cda5fe03" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromFederalHomeLoanBankBorrowings_34ca80e4-9b50-4c6d-aa7b-77317eafe24d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromFederalHomeLoanBankBorrowings"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_ProceedsFromFederalHomeLoanBankBorrowings_34ca80e4-9b50-4c6d-aa7b-77317eafe24d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_PaymentsForForfeitureOfRestrictedStock_6c15ae06-af2c-4b4d-9c2a-636baf08885a" xlink:href="cban-20230630.xsd#cban_PaymentsForForfeitureOfRestrictedStock"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_cban_PaymentsForForfeitureOfRestrictedStock_6c15ae06-af2c-4b4d-9c2a-636baf08885a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInFederalFundsPurchased_b3e8f18e-95a2-490c-8109-676513161ab6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInFederalFundsPurchased"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_IncreaseDecreaseInFederalFundsPurchased_b3e8f18e-95a2-490c-8109-676513161ab6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_19c6d596-9135-4695-9fb0-62e19bf3bedb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_19c6d596-9135-4695-9fb0-62e19bf3bedb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetChangeNoninterestBearingDepositsDomestic_8d841368-bcd5-4659-9ec8-68d193f2e5aa" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetChangeNoninterestBearingDepositsDomestic"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_NetChangeNoninterestBearingDepositsDomestic_8d841368-bcd5-4659-9ec8-68d193f2e5aa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetChangeInterestBearingDepositsDomestic_f41cc2e4-8560-49ac-b7c4-08e4677d55d9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetChangeInterestBearingDepositsDomestic"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_a84ad433-bd19-4eca-bd35-93afcc370bfe" xlink:to="loc_us-gaap_NetChangeInterestBearingDepositsDomestic_f41cc2e4-8560-49ac-b7c4-08e4677d55d9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_c46dc31b-6a6c-4577-a19e-362c7afd2d9c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_c46dc31b-6a6c-4577-a19e-362c7afd2d9c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_004f711f-3e51-4768-bf21-b2bcf274a397" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_004f711f-3e51-4768-bf21-b2bcf274a397" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_c37c806b-3601-42b9-a185-4b99cdf7d47b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_c37c806b-3601-42b9-a185-4b99cdf7d47b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_7b14277c-eb0a-434e-8f91-576c7c8c6fe7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_7b14277c-eb0a-434e-8f91-576c7c8c6fe7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock_598c72b0-a445-41dc-8c42-89145cd15cfd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_PaymentsForProceedsFromFederalHomeLoanBankStock_598c72b0-a445-41dc-8c42-89145cd15cfd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_fe5ad553-d32b-4577-a5c2-13f103f57f82" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_fe5ad553-d32b-4577-a5c2-13f103f57f82" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_73cf3209-92b1-488a-8034-2cc128608a5c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_73cf3209-92b1-488a-8034-2cc128608a5c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromLoansAndLeases_034f5867-a6a0-4e12-b7c2-d4570e391118" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForProceedsFromLoansAndLeases"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_PaymentsForProceedsFromLoansAndLeases_034f5867-a6a0-4e12-b7c2-d4570e391118" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_6c05fb15-28cb-4eb2-8970-b0004620d4ab" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_6c05fb15-28cb-4eb2-8970-b0004620d4ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfOtherRealEstate_abe69a99-36f9-47aa-b685-28f4a961ac4f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfOtherRealEstate"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromSaleOfOtherRealEstate_abe69a99-36f9-47aa-b685-28f4a961ac4f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLifeInsurancePolicies_9c518c86-2784-4bf9-90c0-eface30c367e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromLifeInsurancePolicies"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_21e7dd81-0f04-4ef7-bbf2-018c3c6b2f48" xlink:to="loc_us-gaap_ProceedsFromLifeInsurancePolicies_9c518c86-2784-4bf9-90c0-eface30c367e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_e2be5046-620e-4946-b1c5-d44f2c2ab212" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_16669e9d-695b-4280-9d08-1a8c6c474278" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_e2be5046-620e-4946-b1c5-d44f2c2ab212" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_16669e9d-695b-4280-9d08-1a8c6c474278" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_1a2a24c5-4e2f-4196-ac26-92d5744b9424" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_e2be5046-620e-4946-b1c5-d44f2c2ab212" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_1a2a24c5-4e2f-4196-ac26-92d5744b9424" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_df2bb408-2632-44b2-8d44-cad0008980c0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_e2be5046-620e-4946-b1c5-d44f2c2ab212" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_df2bb408-2632-44b2-8d44-cad0008980c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_d143d75f-9358-4087-bee3-2138ff4dd0c6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_NetIncomeLoss_d143d75f-9358-4087-bee3-2138ff4dd0c6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanLossesExpensed_d09a4eab-a6b8-4877-baa2-2ba8790d7e60" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProvisionForLoanLossesExpensed"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_ProvisionForLoanLossesExpensed_d09a4eab-a6b8-4877-baa2-2ba8790d7e60" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAmortizationAndAccretionNet_0e731001-1bb6-4e76-8974-110d6a9d21c2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DepreciationAmortizationAndAccretionNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_DepreciationAmortizationAndAccretionNet_0e731001-1bb6-4e76-8974-110d6a9d21c2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d59e4ece-2fbf-42ac-9768-5c44aa37158b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d59e4ece-2fbf-42ac-9768-5c44aa37158b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_137a53d4-d23f-4b36-87e7-dae314cc7d99" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_ShareBasedCompensation_137a53d4-d23f-4b36-87e7-dae314cc7d99" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_NetIncreaseDecreaseInServicingAsset_81edc060-9b03-4c15-ab7c-d1535e854671" xlink:href="cban-20230630.xsd#cban_NetIncreaseDecreaseInServicingAsset"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_cban_NetIncreaseDecreaseInServicingAsset_81edc060-9b03-4c15-ab7c-d1535e854671" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_6c740763-cd45-47e9-a2aa-a9e3cef2dc6f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtAndEquitySecuritiesRealizedGainLoss"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_6c740763-cd45-47e9-a2aa-a9e3cef2dc6f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSalesOfLoansNet_b0b698df-dc9b-4870-adcc-1d0b94a596df" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainLossOnSalesOfLoansNet"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_GainLossOnSalesOfLoansNet_b0b698df-dc9b-4870-adcc-1d0b94a596df" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_GainsLossesOnDonationOfOtherRealEstate_e8d218dd-1e90-4f36-a08f-754352dd62e1" xlink:href="cban-20230630.xsd#cban_GainsLossesOnDonationOfOtherRealEstate"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_cban_GainsLossesOnDonationOfOtherRealEstate_e8d218dd-1e90-4f36-a08f-754352dd62e1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_31e72382-c67f-43af-a5da-9dc2a49594a5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainLossOnSaleOfPropertyPlantEquipment"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_31e72382-c67f-43af-a5da-9dc2a49594a5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToPurchaseLoansHeldForSale_0aac33fb-63f5-4479-812f-7aca273b6304" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToPurchaseLoansHeldForSale"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_PaymentsToPurchaseLoansHeldForSale_0aac33fb-63f5-4479-812f-7aca273b6304" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfLoansHeldForSale_f0f2aab5-e439-4d2d-901c-2c2c23174aff" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfLoansHeldForSale"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_ProceedsFromSaleOfLoansHeldForSale_f0f2aab5-e439-4d2d-901c-2c2c23174aff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LifeInsuranceCorporateOrBankOwnedChangeInValue_40d3af07-3d3b-410d-9d12-57916415b3ae" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LifeInsuranceCorporateOrBankOwnedChangeInValue"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_LifeInsuranceCorporateOrBankOwnedChangeInValue_40d3af07-3d3b-410d-9d12-57916415b3ae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_7e0675cc-50f2-4cb8-806f-b69d48bf7e85" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_7e0675cc-50f2-4cb8-806f-b69d48bf7e85" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_953360a0-95eb-4c20-9f4b-d06f76581aae" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_953360a0-95eb-4c20-9f4b-d06f76581aae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_f9eeda14-32c9-4dd3-8f4f-ea3374c3e759" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_f9eeda14-32c9-4dd3-8f4f-ea3374c3e759" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnSalesOfOtherRealEstate_71ca10b4-d44e-4533-a6d3-0421dfbbf04f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainsLossesOnSalesOfOtherRealEstate"/>
    <link:calculationArc order="17" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ded2e6f2-e9df-4fc4-a010-3fa45cbc6aaa" xlink:to="loc_us-gaap_GainsLossesOnSalesOfOtherRealEstate_71ca10b4-d44e-4533-a6d3-0421dfbbf04f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/InvestmentSecuritiesScheduleofInvestmentSecuritiesDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#InvestmentSecuritiesScheduleofInvestmentSecuritiesDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/InvestmentSecuritiesScheduleofInvestmentSecuritiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_4c7c9821-d587-4215-b1f8-addf2518bca7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_e00fc417-7123-49e2-8e7d-543e3f2b0a3a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_4c7c9821-d587-4215-b1f8-addf2518bca7" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_e00fc417-7123-49e2-8e7d-543e3f2b0a3a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_2b1447a1-0481-493c-b5cc-e3462e47d81f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_4c7c9821-d587-4215-b1f8-addf2518bca7" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_2b1447a1-0481-493c-b5cc-e3462e47d81f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_ab2d7666-8776-4443-a2ec-4a838269a5cc" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_4c7c9821-d587-4215-b1f8-addf2518bca7" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_ab2d7666-8776-4443-a2ec-4a838269a5cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_04b75ad8-60ce-4449-b8ba-ff3b40374765" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_8fbabe7e-79c5-4a8e-ae4c-fcb7de92dc9b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_04b75ad8-60ce-4449-b8ba-ff3b40374765" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingGain_8fbabe7e-79c5-4a8e-ae4c-fcb7de92dc9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_17d0d67d-fc33-4ff1-b855-e38f82f5c56b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_04b75ad8-60ce-4449-b8ba-ff3b40374765" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesAccumulatedUnrecognizedHoldingLoss_17d0d67d-fc33-4ff1-b855-e38f82f5c56b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_6d605f47-eea8-4815-975b-105c1580cdd6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_04b75ad8-60ce-4449-b8ba-ff3b40374765" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesFairValue_6d605f47-eea8-4815-975b-105c1580cdd6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofInvestmentSecuritiesbyContractualMaturityDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#InvestmentSecuritiesAmortizedCostandFairValueofInvestmentSecuritiesbyContractualMaturityDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/InvestmentSecuritiesAmortizedCostandFairValueofInvestmentSecuritiesbyContractualMaturityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_211b69d4-e036-4474-b589-6b6b15f07b18" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_43751f81-7569-4295-8e35-93f4309fd376" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_211b69d4-e036-4474-b589-6b6b15f07b18" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_43751f81-7569-4295-8e35-93f4309fd376" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_392bae6f-0b12-4087-8764-0f352a86eba4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_211b69d4-e036-4474-b589-6b6b15f07b18" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_392bae6f-0b12-4087-8764-0f352a86eba4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_19f07031-f08c-418b-817e-5d26e79dcfb6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_d39ce2b3-eae8-42f7-91d3-a1bad79d6f68" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_19f07031-f08c-418b-817e-5d26e79dcfb6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_d39ce2b3-eae8-42f7-91d3-a1bad79d6f68" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_dee1a533-33b8-4abc-8b8b-e6a35b9447a8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_19f07031-f08c-418b-817e-5d26e79dcfb6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_dee1a533-33b8-4abc-8b8b-e6a35b9447a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_a2ab046a-418c-4d33-a9c4-0d49b09c6a19" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_19f07031-f08c-418b-817e-5d26e79dcfb6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_a2ab046a-418c-4d33-a9c4-0d49b09c6a19" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_68987d48-afbc-45f8-93bf-47c5a866fb3d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_19f07031-f08c-418b-817e-5d26e79dcfb6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_68987d48-afbc-45f8-93bf-47c5a866fb3d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_818cb536-937b-40f2-a79e-2e569c40eb0e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityWithoutSingleMaturityDate_41de1a55-d936-4bc9-b807-b822faafdd05" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityWithoutSingleMaturityDate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_818cb536-937b-40f2-a79e-2e569c40eb0e" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityWithoutSingleMaturityDate_41de1a55-d936-4bc9-b807-b822faafdd05" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_53659d60-5c7e-47a4-9ca7-1fac426a5cd5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityExcludingAccruedInterestAfterAllowanceForCreditLoss_818cb536-937b-40f2-a79e-2e569c40eb0e" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_53659d60-5c7e-47a4-9ca7-1fac426a5cd5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_d4d0f1e5-6070-446e-949e-d4fc22131df6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_dcfc80e1-d6aa-47c0-bee0-4b52849640d8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_d4d0f1e5-6070-446e-949e-d4fc22131df6" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_dcfc80e1-d6aa-47c0-bee0-4b52849640d8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_d782d5a8-6f2a-4b04-95d1-d5515b5e2b86" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_d4d0f1e5-6070-446e-949e-d4fc22131df6" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_d782d5a8-6f2a-4b04-95d1-d5515b5e2b86" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_b98f0a1d-4e8e-40f4-889b-a9c8e4150538" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_d4d0f1e5-6070-446e-949e-d4fc22131df6" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_b98f0a1d-4e8e-40f4-889b-a9c8e4150538" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_bb6a9b71-e520-45bf-9041-2dfb29d2745c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_d4d0f1e5-6070-446e-949e-d4fc22131df6" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_bb6a9b71-e520-45bf-9041-2dfb29d2745c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_61b4240e-d1dc-403b-8c2a-8e33f691c619" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_ca925584-41c1-44eb-8181-0d6dc677adf9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_61b4240e-d1dc-403b-8c2a-8e33f691c619" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateFairValue_ca925584-41c1-44eb-8181-0d6dc677adf9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_c171bb5e-0d51-4d42-a4b2-492d977cd2c9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_61b4240e-d1dc-403b-8c2a-8e33f691c619" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_c171bb5e-0d51-4d42-a4b2-492d977cd2c9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_e180e6e0-3a51-45df-8921-7c5c04a2720f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_9fc297ae-54f1-4379-abaa-9f5ec56be7de" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_e180e6e0-3a51-45df-8921-7c5c04a2720f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_9fc297ae-54f1-4379-abaa-9f5ec56be7de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_ab7f5f16-96f9-4126-b61d-38daa7984c1e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_e180e6e0-3a51-45df-8921-7c5c04a2720f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_ab7f5f16-96f9-4126-b61d-38daa7984c1e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_b6710f52-6f43-4f18-9589-adf8400fc88d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_e180e6e0-3a51-45df-8921-7c5c04a2720f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_b6710f52-6f43-4f18-9589-adf8400fc88d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_e66f24de-a74b-4563-8f16-c37837d2b322" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_e180e6e0-3a51-45df-8921-7c5c04a2720f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_e66f24de-a74b-4563-8f16-c37837d2b322" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_f1bd618a-6812-48c2-99e6-b7b36b46f810" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_7a7b372b-1e9c-49fb-938d-f8b1cd8ff158" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_f1bd618a-6812-48c2-99e6-b7b36b46f810" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_7a7b372b-1e9c-49fb-938d-f8b1cd8ff158" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_ec7f4bab-6c18-401e-9f4f-e07edae2b3a5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_f1bd618a-6812-48c2-99e6-b7b36b46f810" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_ec7f4bab-6c18-401e-9f4f-e07edae2b3a5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_ee0d0535-9c97-4a57-8044-27434459b18a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateYearOne_ad35b66c-4d7e-4047-b0d5-e6a457d06070" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateYearOne"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_ee0d0535-9c97-4a57-8044-27434459b18a" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateYearOne_ad35b66c-4d7e-4047-b0d5-e6a457d06070" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYearOneThroughFive_0289b0ee-102a-4a57-b446-497fd88bc9e5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYearOneThroughFive"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_ee0d0535-9c97-4a57-8044-27434459b18a" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYearOneThroughFive_0289b0ee-102a-4a57-b446-497fd88bc9e5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear5Through10_c4822263-373b-4761-86df-808a98688062" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear5Through10"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_ee0d0535-9c97-4a57-8044-27434459b18a" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear5Through10_c4822263-373b-4761-86df-808a98688062" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear10_93388262-841d-478e-8cf3-1a222991b0b5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear10"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDate_ee0d0535-9c97-4a57-8044-27434459b18a" xlink:to="loc_us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestAfterAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateAfterYear10_93388262-841d-478e-8cf3-1a222991b0b5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/InvestmentSecuritiesAvailableforSaleSecuritiesContinuousUnrealizedLossPositionDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#InvestmentSecuritiesAvailableforSaleSecuritiesContinuousUnrealizedLossPositionDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/InvestmentSecuritiesAvailableforSaleSecuritiesContinuousUnrealizedLossPositionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_46ea4a0b-8c63-4bae-970c-6d5bc5e76b1a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_754b35e5-d619-40fb-b0a4-5807369c6198" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_46ea4a0b-8c63-4bae-970c-6d5bc5e76b1a" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_754b35e5-d619-40fb-b0a4-5807369c6198" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_f9214b43-2307-4204-917a-a6a054ba7544" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_46ea4a0b-8c63-4bae-970c-6d5bc5e76b1a" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_f9214b43-2307-4204-917a-a6a054ba7544" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_e5f76bf7-50f2-4105-a46e-eaf6517b69c1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_d53bfab7-eb3e-4930-bdae-2cec48998109" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_e5f76bf7-50f2-4105-a46e-eaf6517b69c1" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_d53bfab7-eb3e-4930-bdae-2cec48998109" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_01632c1c-df6d-4eec-a8e1-ed5377a98fe3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_e5f76bf7-50f2-4105-a46e-eaf6517b69c1" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_01632c1c-df6d-4eec-a8e1-ed5377a98fe3" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/InvestmentSecuritiesHeldtoMaturityContinuousLossPositionDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#InvestmentSecuritiesHeldtoMaturityContinuousLossPositionDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/InvestmentSecuritiesHeldtoMaturityContinuousLossPositionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue_1b266afe-c15a-4b07-9964-0fdeee8d3280" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue_cbe12202-42fe-412c-b795-09719d75a0cb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue_1b266afe-c15a-4b07-9964-0fdeee8d3280" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue_cbe12202-42fe-412c-b795-09719d75a0cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue_309fe39a-f7fa-4a3f-a602-e26fe68a9204" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue_1b266afe-c15a-4b07-9964-0fdeee8d3280" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue_309fe39a-f7fa-4a3f-a602-e26fe68a9204" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAccumulatedLoss_bb874fd4-834f-45ee-9f23-18e347a39417" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_963ca3c4-0b7d-4e28-bfa0-513b6ca2b53a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAccumulatedLoss_bb874fd4-834f-45ee-9f23-18e347a39417" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_963ca3c4-0b7d-4e28-bfa0-513b6ca2b53a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_88fc79dd-07f5-40ea-8606-a33a49379307" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPositionAccumulatedLoss_bb874fd4-834f-45ee-9f23-18e347a39417" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_88fc79dd-07f5-40ea-8606-a33a49379307" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/LoansNonaccrualLoansDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#LoansNonaccrualLoansDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/LoansNonaccrualLoansDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrual_5053e885-ac18-4486-91fc-07ff5af10cd7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrual"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrualNoAllowance_653f8d74-8eba-4c6d-9c33-e37125993471" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrualNoAllowance"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrual_5053e885-ac18-4486-91fc-07ff5af10cd7" xlink:to="loc_us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrualNoAllowance_653f8d74-8eba-4c6d-9c33-e37125993471" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_FinancingReceivableExcludingAccruedInterestNonaccrualWithAllowance_35958ad9-bf12-4c0a-873c-298bc9fb7640" xlink:href="cban-20230630.xsd#cban_FinancingReceivableExcludingAccruedInterestNonaccrualWithAllowance"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinancingReceivableExcludingAccruedInterestNonaccrual_5053e885-ac18-4486-91fc-07ff5af10cd7" xlink:to="loc_cban_FinancingReceivableExcludingAccruedInterestNonaccrualWithAllowance_35958ad9-bf12-4c0a-873c-298bc9fb7640" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/BorrowingsSummaryofOtherBorrowedMoneyDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#BorrowingsSummaryofOtherBorrowedMoneyDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/BorrowingsSummaryofOtherBorrowedMoneyDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherBorrowings_5d025220-aecf-4a8f-9dd8-99301acba652" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherBorrowings"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdvancesFromFederalHomeLoanBanks_e4f8069f-d85e-414b-bc18-67deb33a4289" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdvancesFromFederalHomeLoanBanks"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherBorrowings_5d025220-aecf-4a8f-9dd8-99301acba652" xlink:to="loc_us-gaap_AdvancesFromFederalHomeLoanBanks_e4f8069f-d85e-414b-bc18-67deb33a4289" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLongTermDebt_20002f74-9dde-48c6-b976-b760c440cfb6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherLongTermDebt"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherBorrowings_5d025220-aecf-4a8f-9dd8-99301acba652" xlink:to="loc_us-gaap_OtherLongTermDebt_20002f74-9dde-48c6-b976-b760c440cfb6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/BorrowingsScheduleofAggregateStatedMaturitiesDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#BorrowingsScheduleofAggregateStatedMaturitiesDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/BorrowingsScheduleofAggregateStatedMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_LongTermDebtMaturityYearFiveAndAfter_b729c953-6469-4e45-bde5-26e120f6746f" xlink:href="cban-20230630.xsd#cban_LongTermDebtMaturityYearFiveAndAfter"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_cban_LongTermDebtMaturityYearFiveAndAfter_b729c953-6469-4e45-bde5-26e120f6746f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_f1b4d052-3438-46ba-9f43-1a70c4f398c1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_f1b4d052-3438-46ba-9f43-1a70c4f398c1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_cacc58ab-894f-4146-9a45-5e3875fb4060" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_cacc58ab-894f-4146-9a45-5e3875fb4060" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear_9297c346-2b9d-4a4c-8543-5e7d985e4cfe" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear_9297c346-2b9d-4a4c-8543-5e7d985e4cfe" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_af497fc3-655a-415c-8b25-51cd078e224e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_af497fc3-655a-415c-8b25-51cd078e224e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_ce637b12-35c7-4024-9bc4-89c8dc095ef9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_51848ad1-f932-4d2c-9d03-58a12f66c261" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_ce637b12-35c7-4024-9bc4-89c8dc095ef9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/EarningsPerShareDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#EarningsPerShareDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/EarningsPerShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_85ebda89-4712-49f7-b782-002532f3b57c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_e8feff58-937d-4185-92bf-38d2eb524e14" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_85ebda89-4712-49f7-b782-002532f3b57c" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_e8feff58-937d-4185-92bf-38d2eb524e14" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/FairValueofFinancialInstrumentsandFairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringandNonrecurringBasisDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#FairValueofFinancialInstrumentsandFairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringandNonrecurringBasisDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/FairValueofFinancialInstrumentsandFairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringandNonrecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure_bf426ba6-f3d4-4608-b483-1f447a7a675f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_ImpairedLoansFairValue_6cd1eb2b-88c1-4c3f-8d48-05fb4d50681d" xlink:href="cban-20230630.xsd#cban_ImpairedLoansFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_bf426ba6-f3d4-4608-b483-1f447a7a675f" xlink:to="loc_cban_ImpairedLoansFairValue_6cd1eb2b-88c1-4c3f-8d48-05fb4d50681d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_cban_OtherRealEstateFairValue_94e6fcb4-7c34-438d-b912-70c5d98ca376" xlink:href="cban-20230630.xsd#cban_OtherRealEstateFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_bf426ba6-f3d4-4608-b483-1f447a7a675f" xlink:to="loc_cban_OtherRealEstateFairValue_94e6fcb4-7c34-438d-b912-70c5d98ca376" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://colonybank.com/role/SegmentInformationScheduleofSegmentReportingInformationDetails" xlink:type="simple" xlink:href="cban-20230630.xsd#SegmentInformationScheduleofSegmentReportingInformationDetails"/>
  <link:calculationLink xlink:role="http://colonybank.com/role/SegmentInformationScheduleofSegmentReportingInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForLoanLossesExpensed_cf7bb9a6-ea65-43e7-93b2-840b749aa4b9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProvisionForLoanLossesExpensed"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:to="loc_us-gaap_ProvisionForLoanLossesExpensed_cf7bb9a6-ea65-43e7-93b2-840b749aa4b9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestIncome_c03d91ee-ed17-40a9-84bf-2b50d5c535a3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:to="loc_us-gaap_NoninterestIncome_c03d91ee-ed17-40a9-84bf-2b50d5c535a3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_42ec6145-e8cd-47fa-8688-a03f70b3cb32" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_42ec6145-e8cd-47fa-8688-a03f70b3cb32" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpense_455a18a4-1066-454b-909a-9a4bfe9e6c72" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NoninterestExpense"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:to="loc_us-gaap_NoninterestExpense_455a18a4-1066-454b-909a-9a4bfe9e6c72" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_6585b99d-a3f6-4bce-a624-49f2790c6f84" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_6cc240f7-907c-4e85-b5b9-732560a7d573" xlink:to="loc_us-gaap_InterestIncomeExpenseNet_6585b99d-a3f6-4bce-a624-49f2790c6f84" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
