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Long-Term Debt - Schedule of Long-Term Debt (Details) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Total long-term debt $ 22,066,667us-gaap_FederalHomeLoanBankAdvancesLongTerm $ 17,200,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
Advance From FHLB With A 3.39% Fixed Rate Of Interest Maturing August 20, 2018 [Member]    
Total long-term debt 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBTwoMember
5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBTwoMember
Advance From FHLB With A 2.78% Fixed Rate of Interest Maturing September 10, 2018 [Member]    
Total long-term debt 5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBThreeMember
5,000,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBThreeMember
Advance From FHLB With 1.43% Fixed Rate of Interest With Annual Installment Payments Maturing September 4, 2018 [Member]    
Total long-term debt 5,400,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFourMember
7,200,000us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFourMember
Advance From FHLB With 0.89% Fixed Rate Of Interest With Annual Installment Payments Maturing July 24, 2017 [Member]    
Total long-term debt $ 6,666,667us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFiveMember
$ 0us-gaap_FederalHomeLoanBankAdvancesLongTerm
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFiveMember