common wart vs wart

common wart and wart both are nouns.

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

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

common wart: a benign growth (often with a rough surface)
wart: (pathology) a firm abnormal elevated blemish on the skin; caused by a virus

Other hypernyms of common wart include verruca.

common wart (noun)	wart (noun)
a benign growth (often with a rough surface)	(pathology) a firm abnormal elevated blemish on the skin; caused by a virus
	any small rounded protuberance (as on certain plants or animals)
	an imperfection in someone or something that is suggestive of a wart (especially in smallness or unattractiveness)