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Governmental Issuer Loans - Additional Information (Details)	1 Months Ended
	Feb. 29, 2024 USD ($)	Mar. 31, 2024 USD ($) Property Entities	Dec. 31, 2023 USD ($) Property	Jan. 01, 2023 USD ($)
Governmental Issuer Loans [Line Items]
Number of Variable Interest Entities | Property		30	33
Allowance for credit losses				$ 5,900,000
Governmental Issuer Loans [Member]
Governmental Issuer Loans [Line Items]
Accrued interest receivable		$ 1,400,000	$ 1,500,000
Number of Variable Interest Entities | Entities		2
Outstanding principal		$ 133,200,000
Property Loans [Member]
Governmental Issuer Loans [Line Items]
Outstanding principal		$ 4,700,000
Scharbauer Flats Apartments [Member] | Governmental Issuer Loans [Member]
Governmental Issuer Loans [Line Items]
Partnership recognized loan fee	$ 87,000

X

- Definition

Accrued interest receivable

+ References

No definition available.

+ Details

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

X

- Definition

allowance for credit losses.

+ References

No definition available.

+ Details

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

X

- 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

X

- Definition

The number of variable interest entities owned.

+ References

No definition available.

+ Details

Name:	ghi_NumberOfVariableInterestEntities
Namespace Prefix:	ghi_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Partnership recognized loan fee.

+ References

No definition available.

+ Details

Name:	ghi_PartnershipRecognizedLoanFee
Namespace Prefix:	ghi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

This is the principal amount outstanding for securitized loans only (across all types of loans).

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Subparagraph (a)
-Paragraph 4
-SubTopic 20
-Topic 860
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481326/860-20-50-4

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Details

Name:	us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis=ghi_GovernmentalIssuerLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis=ghi_ScharbauerFlatsApartmentsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: