common measure vs common divisor

common measure and common divisor both are nouns.

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

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

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

Other synonyms of common measure include common factor.

common measure (noun)	common divisor (noun)
the usual (iambic) meter of a ballad	an integer that divides two (or more) other integers evenly
an integer that divides two (or more) other integers evenly
a time signature indicating four beats to the bar