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Mortgages Payable and Other Secured Financing - Additional Information (Details) | 1 Months Ended
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Dec. 31, 2022
The 50/50 MF Property [Member] |
SEC Schedule, 12-29, Real Estate Companies, Investment in Mortgage Loans on Real Estate [Line Items] |
Ownership interest sold | 100.00%

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- Definition Sale of real estate ownership interest percentage. + References No definition available. + Details
Name: | ghi_SaleOfRealEstateOwnershipInterestPercentage
Namespace Prefix: | ghi_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | srt_MortgageLoansOnRealEstateLineItems
Namespace Prefix: | srt_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | srt_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis=ghi_The5050StudentHousingUNLMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |