high priest vs primate

high priest and primate both are nouns.

Word	Noun	Adjective	Verb	Adverb
high priest	Yes	No	No	No
primate	Yes	No	No	No

As nouns, high priest and primate are synonyms defined as:

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

high priest (noun)	primate (noun)
a senior clergyman and dignitary	any placental mammal of the order Primates; has good eyesight and flexible hands and feet
a preeminent authority or major proponent of a movement or doctrine	a senior clergyman and dignitary