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Loans and Allowance for Loan Losses - Weighted Average Interest Rate on Loans Receivable (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2020 | Dec. 31, 2019
Loans Receivable, Weighted Average Interest Rate | 4.29% | 4.97%
Commercial loan participations sold to other financial institutions | $ 308.4 | $ 283.0
Residential mortgage loans sold | 154.3 | 66.9
Unpaid principal balances |  |
Loans serviced for others | 462.7 | 349.9
Unused lines of Credit |  |
Loans serviced for others | $ 46.1 | $ 102.1

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

X
- 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: | num: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: |