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FHA, Federal Housing Administration requires at least 3.5% down payment from buyer. (3.5% can be gifted from relative).
VA, Veterans Administration is for the military and spouces. No money required out of pocket.
USDA RD, United States Department of Agricultural Rural Development is the best loan on the market! 100% financing and no mortgage insurance.
Convention loans usually require 20% down and have much less guidelines and restrictions to follow.