professor vs prof

professor and prof both are nouns.

Word	Noun	Adjective	Verb	Adverb
professor	Yes	No	No	No
prof	Yes	No	No	No

As nouns, professor and prof are synonyms defined as:

professor and prof: someone who is a member of the faculty at a college or university

professor (noun)	prof (noun)
someone who is a member of the faculty at a college or university	someone who is a member of the faculty at a college or university