public vs common

public and common both are nouns.

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

public (noun)	common (noun)
people in general considered as a whole	a piece of open land for recreational use in an urban area
a body of people sharing some common interest

public (adjective)	common (adjective)
not private; open to or concerning the people as a whole	having no special distinction or quality; widely known or commonly encountered; average or ordinary or usual
affecting the people or community as a whole	belonging to or participated in by a community as a whole; public
	commonly encountered
	of low or inferior quality or value
	being or characteristic of or appropriate to everyday language
	of or associated with the great masses of people
	to be expected; standard
	common to or shared by two or more parties
	lacking refinement or cultivation or taste