It depends on when your Federal was filed, if it was the same time as your state and you filed an accurate return and the IRS finds no issues then your Federal should be not to far behind. However if you claimed additional earned income or child credit it could be a little later. IRS wont start approving returns like that until at least the 27th of February. You can use the IRS where is my refund tracker web-site at the link provided:
https://www.irs.gov/refunds