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Loans and Allowance for Credit Losses - Weighted Average Interest Rate on Loans Receivable (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Loans Receivable, Weighted Average Interest Rate | 4.26% | 4.29%
Commercial loan participations sold to other financial institutions | $ 249.5 | $ 308.4
Residential mortgage loans sold | 136.3 | 154.3
Unpaid principal balances |  |
Loans serviced for others | 385.8 | 462.7
Unused lines of Credit |  |
Loans serviced for others | $ 130.9 | $ 46.1

X
- Definition Represents the monetary amount of Commercial loan participations sold to other financial institutions, during the indicated time period. + References No definition available. + Details
Name: | gsbc_CommercialLoanParticipationsSoldToOtherFinancialInstitutions
Namespace Prefix: | gsbc_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Represents the Loans Receivable weighted average interest rate, as of the indicated date. + References No definition available. + Details
Name: | gsbc_LoansReceivableWeightedAverageInterestRate
Namespace Prefix: | gsbc_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- Definition Represents the monetary amount of Loans serviced for others, during the indicated time period. + References No definition available. + Details
Name: | gsbc_LoansServicedForOthers
Namespace Prefix: | gsbc_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Represents the monetary amount of Residential mortgage loans sold, during the indicated time period. + References No definition available. + Details
Name: | gsbc_ResidentialMortgageLoansSold
Namespace Prefix: | gsbc_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Details
Name: | us-gaap_FinancialInstrumentAxis=gsbc_UnpaidPrincipalBalancesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_FinancialInstrumentAxis=us-gaap_UnusedLinesOfCreditMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |