common divisor vs common factor

common divisor and common factor both are nouns.

Word	Noun	Adjective	Verb	Adverb
common divisor	Yes	No	No	No
common factor	Yes	No	No	No

As nouns, common divisor and common factor are synonyms defined as:

common divisor and common factor: an integer that divides two (or more) other integers evenly

Other synonyms of common divisor include common measure.

common divisor (noun)	common factor (noun)
an integer that divides two (or more) other integers evenly	an integer that divides two (or more) other integers evenly