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Other Assets - Summary of Taxable MRB and GIL Acquired (Parenthetical) (Details) $ in Millions | Dec. 31, 2024 USD ($)
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Governmental Issuer Loans [Line Items] |
Floor rate | 3.95%
Mortgage Revenue Bonds [Member] |
Governmental Issuer Loans [Line Items] |
Borrower Re-Allocated Previously Provided Funding | $ 11.5

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- Definition Borrower re-allocated previously provided funding. + References No definition available. + Details
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Namespace Prefix: | ghi_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Governmental issuer loans. + References No definition available. + Details
Name: | ghi_GovernmentalIssuerLoansLineItems
Namespace Prefix: | ghi_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Loan Financing Basis Spread on Variable Floor Rate. + References No definition available. + Details
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Namespace Prefix: | ghi_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- Details
Name: | us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis=ghi_MortgageRevenueBondsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |