celebrity vs fame

celebrity and fame both are nouns.

Word	Noun	Adjective	Verb	Adverb
celebrity	Yes	No	No	No
fame	Yes	No	No	No

As nouns, celebrity and fame are synonyms defined as:

celebrity and fame: the state or quality of being widely honored and acclaimed

Other synonyms of celebrity include renown.

celebrity (noun)	fame (noun)
a widely known person	the state or quality of being widely honored and acclaimed
the state or quality of being widely honored and acclaimed	favorable public reputation