mortgage and student loan applications simultaneously?

I am in a posiiton where I would need to apply to see whether I qualify for a mortgage loan (whether or not I actually take out the mortgage) as well as applying for a grad school loan almost simultaneously. I would be applying for the mortgage first, and then probably within weeks or up to two months, I would need to apply for a stafford/private loan. I’m just wondering whether that mortgage credit check would have any effect on my eligibility to take out a student loan, or would the loan company take it as risky behavior, or raise my interest rate because of that?

Thanks for any help!
Thanks for the info! Very helpful.