It is unfortunate that the term circumcision is applied to both the removal of the foreskin of the male and the removal of the clitoris of the woman. There is no comparison.
[Bukhari 7,72,779] Mohammed said, "Five practices are characteristics of the ancient prophets: circumcision, shaving the pubic hair, cutting the moustaches short, clipping the nails, and depilating the hair of the armpits."
This hadith refers to the circumcision of female genitalia. It assumes that both the man and the woman are circumcised.
[Muslim 003,0684] [...] Abu Musa then said, "When is a bath obligatory?" Aisha responded, "You have asked the right person. Mohammed has said that a bath is obligatory when a man is encompassed by a woman and their circumcised genitalia touch."
Circumcision is part of the Sharia law. Here is the deceptive translation:
e4.3 Circumcision is obligatory for both men and women. For men it consists of removing the prepuce from the penis, and for women, removing the prepuce of the clitoris (not the clitoris itself, as some mistakenly assert).
However what the Arabic actually says is:
e4.3 Circumcision is obligatory (for every male and female) by cutting off the piece of skin on the glans of the penis of the male, but circumcision of the female is by cutting out the clitoris (this is called Hufaad)."
This deceptive translation obscures the Sharia law. This deception is called taqiyya, a form of sacred deception.
At the battle of Badr, we have a reference to the custom of removing the clitoris.
Ishaq 564 Hamza said, 'Come here, you son of a female circumciser.' Now his mother was Umm Anmar, a female circumciser (one who circumcised girls) in Mecca. Then Hamza smote him and killed him.
Read more on this barbaric practice: Female Genital Mutilation.
And Islam and Female Genital Mutilation.