The Newer the Better
Canceling a newer credit card impacts your score less than canceling an older card. The average age of your credit accounts affects 15 percent of your FICO score, according to Bankrate. FICO is the scoring model used by the three major U.S. credit reporting bureaus. When you cancel an older card, you significantly cut into the average length of credit. Canceling a newer card won't have the same effect, because you haven't built an extended history with it.
Account Mix and Utilization
Your credit utilization ratio and credit account mix are additional factors to consider before canceling. The utilization ratio is the percentage of your available credit that you're using. Canceling a credit card with a high limit can lead to a sharp increase in your overall credit utilization ratio. This ratio contributes to the "Amounts Owed" FICO category, which Bankrate states has a 30 percent impact on your score. Also, you take a hit on the "Types of Credit Used" category if you cancel your only credit card, and this affects 10 percent of your score.