If i live with my girlfriend and share rent in Michigan of 1250/month. when filling taxes for the homestead property tax credit, who claims the amount of rent?

Please refer to this Michigan website for further information on how to claim the credit. in the website, it mentions:

Taxpayers may claim a Homestead Property Tax Credit if ALL the following apply:

• Your homestead is in Michigan
• You were a resident of Michigan for at least six months during the year
• You own or are contracted to pay rent and occupy a Michigan homestead on which property taxes were levied
• If you own your home, your taxable value is $135,000 or less (unless unoccupied farmland)
• Your total household resources are $60,000 or less

Now it depends on whose name is on the lease. If both of you are, you can split the payment in half to report. if not, then the person who name is on the lease (or contracted to pay rent) is eligible to take the credit.