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SOI Net investment income and Realized gains losses (Details 8) (USD $)
In Thousands, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Net investment income      
Investment income before expenses $ 1,248,381us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium $ 1,109,747us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium $ 1,208,104us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
Investment expenses (19,993)us-gaap_InvestmentIncomeInvestmentExpense (18,358)us-gaap_InvestmentIncomeInvestmentExpense (16,553)us-gaap_InvestmentIncomeInvestmentExpense
Net investment income 1,228,388us-gaap_InvestmentIncomeNet 1,091,389us-gaap_InvestmentIncomeNet 1,191,551us-gaap_InvestmentIncomeNet
Realized investment gains (losses):      
Realized investment gains (losses) 147,371us-gaap_RealizedInvestmentGainsLosses (14,136)us-gaap_RealizedInvestmentGainsLosses 116,717us-gaap_RealizedInvestmentGainsLosses
Fixed maturity and short-term investments      
Net investment income      
Investment income before expenses 816,907us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember		 766,367us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember		 808,215us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember
Realized investment gains (losses):      
Realized investment gains (losses) 54,219us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember		 37,312us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember		 105,675us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= gac_FixedMaturityAndShortTermInvestmentsMember
Mortgage loans on real estate      
Net investment income      
Investment income before expenses 149,497us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember		 147,944us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember		 138,411us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember
Realized investment gains (losses):      
Realized investment gains (losses) 6,857us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember		 10,895us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember		 21,471us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageLoansOnRealEstateMember
Policy loans      
Net investment income      
Investment income before expenses 207,013us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_PolicyLoansMember		 206,718us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_PolicyLoansMember		 213,300us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_PolicyLoansMember
Limited partnership interests      
Net investment income      
Investment income before expenses 9,128us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherThanSecuritiesInvestmentMember		 9,131us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherThanSecuritiesInvestmentMember		 7,566us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherThanSecuritiesInvestmentMember
Net interest on funds withheld balances under reinsurance agreements, related party      
Net investment income      
Investment income before expenses 21,295us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FundsWithheldBalancesUnderReinsuranceAgreementsRelatedPartyMember		 20,876us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FundsWithheldBalancesUnderReinsuranceAgreementsRelatedPartyMember		 19,382us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= gac_FundsWithheldBalancesUnderReinsuranceAgreementsRelatedPartyMember
Derivative instruments      
Net investment income      
Investment income before expenses 39,533us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember		 [1] (44,610)us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember		 [1] 16,008us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember		 [1]
Realized investment gains (losses):      
Realized investment gains (losses) 90,504us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember		 (62,077)us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember		 (10,221)us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_DerivativeMember
Other      
Net investment income      
Investment income before expenses 5,008us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember		 3,321us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember		 5,222us-gaap_InvestmentIncomeNetAmortizationOfDiscountAndPremium
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember
Realized investment gains (losses):      
Realized investment gains (losses) $ (4,209)us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember		 $ (266)us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember		 $ (208)us-gaap_RealizedInvestmentGainsLosses
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember
[1] Includes gains (losses) on the hedged asset for fair value hedges.