common divisor vs divisor

common divisor and divisor both are nouns.

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

As nouns, divisor is a hypernym of common divisor; that is, divisor is a word with a broader meaning than common divisor:

common divisor: an integer that divides two (or more) other integers evenly
divisor: one of two or more integers that can be exactly divided into another integer

Other hypernyms of common divisor include factor.

common divisor (noun)	divisor (noun)
an integer that divides two (or more) other integers evenly	the number by which a dividend is divided
	one of two or more integers that can be exactly divided into another integer