The FHA requires 3.5% down payment to purchase a home. So, $15,000 would be sufficient, however, you still have to qualify for the mortgage. You would be well advised to talk to a local mortgage lender, a smaller institution that specializes in writing mortgages. They are going to look at your income, the amount of debt you currently carry, your work history and, yes, your credit history. Once that is done, they will be able to tell you exactly what you qualify for as far as a mortgage. And, even if you don't qualify for a mortgage today, they will be able to tell you exactly what steps you need to take, what improvements you need to make in your situation, in order to get one and even how long that process should take if you follow their advice.