hierarch vs primate

hierarch and primate both are nouns.

Word	Noun	Adjective	Verb	Adverb
hierarch	Yes	No	No	No
primate	Yes	No	No	No

As nouns, hierarch and primate are synonyms defined as:

Other synonyms of hierarch include archpriest, high priest, prelate.

hierarch (noun)	primate (noun)
a senior clergyman and dignitary	any placental mammal of the order Primates; has good eyesight and flexible hands and feet
a person who holds a high position in a hierarchy	a senior clergyman and dignitary