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Fair Value of Financial Instruments - Additional Information (Details) - Fair Value, Inputs, Level 3 [Member] - USD ($) $ in Millions	Sep. 30, 2024	Dec. 31, 2023
Governmental Issuer Loan [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Available for Sale Security and Property Loan Receivable, Maximum Exposure	$ 207.9	$ 225.7
Taxable Governmental Issuer Loan [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Available for Sale Security and Property Loan Receivable, Maximum Exposure	$ 2.8	$ 12.1

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- Definition

Available for Sale Security and Property Loan Receivable, Maximum Exposure - This represents the maximum exposure to loss related to the Available for Sale Securities and Property Loan Receivables.

+ References

No definition available.

+ Details

Name:	ghi_AvailableForSaleSecurityAndPropertyLoanReceivableMaximumExposure
Namespace Prefix:	ghi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- 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:	us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel3Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_DebtInstrumentAxis=ghi_GovernmentalIssuerLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_DebtInstrumentAxis=ghi_TaxableGovernmentalIssuerLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: