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Other Assets - Additional Information (Details) | Dec. 31, 2022 USD ($)
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Other Assets [Abstract] |
Taxable mortgage revenue bonds with fair value, held in trust | $ 9.0

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- Definition Taxable mortgage revenue bonds with fair value, held in trust. + References No definition available. + Details
Name: | ghi_TaxableMortgageRevenueBondsWithFairValueHeldInTrust
Namespace Prefix: | ghi_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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