While the degrees may not be the same, the name and purpose are the same for males and females. Genital mutation is intended to dull sexual pleasure.
"Wow what a beautiful baby boy! He's almost perfect. You know what would make him even better? We should cut the skin off the tip of his penis! That'll do it."
There are still in this day and age JWs who think it is more hygienic to circumcise. To this I always reply, "why? Did god make a mistake when he designed the penis? Did he accidentally put too much skin on?"
All that being said, FGM is disgraceful. It should be illegal, along with every other practice religious or otherwise, that is harmful to people who observe them and their children.