How the outline looks to most people: Young heroine fights against society's idea of perfect and falls in love along the way. Overall that's true, but that's the same general outline of most popular fiction.
Divergent has two people in love, Hunger Games has a love triangle. Divergent has factions that you can choose to belong too, Hunger Games you are stuck in the district you were born in. Divergent displays the mental strength of the characters vs the physical strength in Hunger Games.
There are too many other differences to even list between the two series, and I hope that critics claims will not prevent you from enjoying both series to their full extent.