Hakham is a term in Judaism, meaning a wise or skillful man; it often refers to someone who is a great Torah scholar. It can also refer to any cultured and learned person: "He who says a wise thing is called a Hakham, even if he be not a Jew." Hence, in Talmudic-Midrashic literature, wise gentiles are commonly called hakhmei ummot ha-'olam.
The Hakham of Moinești (Hahamul din Moineşti), Ștefan Luchian, 1909
A rabbi is a spiritual leader or religious teacher in Judaism. One becomes a rabbi by being ordained by another rabbi—known as semikha—following a course of study of Jewish history and texts such as the Talmud. The basic form of the rabbi developed in the Pharisaic and Talmudic eras, when learned teachers assembled to codify Judaism's written and oral laws. The title "rabbi" was first used in the first century CE. In more recent centuries, the duties of a rabbi became increasingly influenced by the duties of the Protestant Christian minister, hence the title "pulpit rabbis", and in 19th-century Germany and the United States rabbinic activities including sermons, pastoral counseling, and representing the community to the outside, all increased in importance.
Rabbi instructing children in 2004
Jewish chaplain insignia, U.S. Air Force
Rabbi Moshe Feinstein, a leading Rabbinical authority for Orthodox Judaism of the second half of the twentieth century.