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Long-Term Debt - Schedule of Long-Term Debt (Details) (Parenthetical)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Advance From FHLB With A 3.39% Fixed Rate Of Interest Maturing August 20, 2018 [Member]    
Long term debt interest rate 3.39%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBTwoMember
3.39%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBTwoMember
Long term debt maturity date Aug. 20, 2018 Aug. 20, 2018
Advance From FHLB With A 2.78% Fixed Rate of Interest Maturing September 10, 2018 [Member]    
Long term debt interest rate 2.78%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBThreeMember
2.78%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBThreeMember
Long term debt maturity date Sep. 10, 2018 Sep. 10, 2018
Advance From FHLB With 1.43% Fixed Rate of Interest With Annual Installment Payments Maturing September 4, 2018 [Member]    
Long term debt interest rate 1.43%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFourMember
1.43%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFourMember
Long term debt maturity date Sep. 04, 2018 Sep. 04, 2018
Advance From FHLB With 0.89% Fixed Rate Of Interest With Annual Installment Payments Maturing July 24, 2017 [Member]    
Long term debt interest rate 0.89%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFiveMember
0.89%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= SGB_AdvanceFromFHLBFiveMember
Long term debt maturity date Jul. 24, 2017 Jul. 24, 2017