State Impact
You will have to file a nonresident Colorado state tax return to get back the taxes your employer withheld for CO.
Be sure to prepare your nonresident state return (CO) first. That
way, the taxes paid to CO will flow correctly to the MT return in order
to generate a credit for taxes paid to another state.
Federal Impact
On your federal return, it doesn't matter which state collected the taxes. If you itemize deductions, the withholding for both states will flow to Schedule A from your W-2s.
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