Depends upon the price of the house and what program you qualify for. FHA doesn't require too much in the way of a down payment (4%?). There are other hurdles like debt to income ratio, are you employed full time, etc.
Depends on what you are purchasing - house, condo, co-op, the approximate purchase price, your income, what mortgage programs you qualify for, among other factors. You may want to reach out to a mortgage lender to see what mortgages and amounts you qualify for and what the down-payment requirements are
It’s the down payment you need to save up for and you also have to qualify for the mortgage. The down payment varies depending on the price of the home and the amount of mortgage you qualify for and maybe some other things factor into it. Some places have programs to help you purchase your first home.