You'll be a part-year resident in each state. See How do I file a part-year state return? We suggest you prepare the return for your former state first, followed by the return for the state you currently live in.
To report your 1099-INT, allocate the interest you earned as a CO resident to CO, and the remainder to MI. An easy allocation method is to divide the year's interest by 12, and then multiply the figure by the number of months you lived in each state. Please see How do I allocate (split) income for a part-year state return?
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