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Transactions with Related Parties - Summary of Transactions with Related Parties Reflected on the Partnership's Consolidated Financial Statements (Parenthetical) (Details) | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Related Party Transactions [Abstract] |  |
Rate for administration fees receivable | 0.45% | 0.45%
Percentage of referral fee to be received in original principal amount | 0.25% | 0.25%

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- Definition Percentage of referral fee to be received in original principal amount. + References No definition available. + Details
Name: | ghi_PercentageOfReferralFeeToBeReceivedInOriginalPrincipalAmount
Namespace Prefix: | ghi_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Rate for administration fees - rate charged on the bonds and loans collateralized by the underlying properties for administration of the assets + References No definition available. + Details
Name: | ghi_RateForAdministrationFees
Namespace Prefix: | ghi_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionsAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration