There's no way to even know which refund will come first, and no way to know how long it takes to get a state refund. The Federal and State refunds come from two different tax agencies, each doing their own thing at their own speed. And there are about 40 different state tax agencies.
Here's how to track your state refund. Your state's tax agency website may also have a FAQ about how long it takes to get a state refund.
FAQ:
How do I track my state refund?
https://ttlc.intuit.com/replies/3300211
