intellect vs faculty

intellect and faculty both are nouns.

Word	Noun	Adjective	Verb	Adverb
intellect	Yes	No	No	No
faculty	Yes	No	No	No

As nouns, faculty is a hypernym of intellect; that is, faculty is a word with a broader meaning than intellect:

Other hypernyms of intellect include mental faculty, module.

intellect (noun)	faculty (noun)
the capacity for rational thought or inference or discrimination	one of the inherent cognitive or perceptual powers of the mind
knowledge and intellectual ability	the body of teachers and administrators at a school
a person who uses the mind creatively