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Loans and Allowance for Loan Losses - Weighted Average Interest Rate on Loans Receivable (Details) - USD ($) $ in Millions	12 Months Ended
	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: