Paying only the minimum amount due each month, on time, generally keeps your account in good standing and avoids a late payment mark, but it isn't entirely neutral for your credit profile, since carrying a rolling balance keeps your credit utilization elevated, which is itself a factor in how your credit score is assessed. Consistently paying only the minimum also means interest continues to accrue on the remaining balance, so while it technically avoids the more serious consequences of a missed payment, it doesn't give your score the same benefit that paying the balance in full each month typically does.
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