celebrated vs far-famed

celebrated and far-famed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
celebrated	No	Yes	No	No
far-famed	No	Yes	No	No

As adjectives, celebrated and far-famed are synonyms defined as:

Other synonyms of celebrated include famed, famous, illustrious, notable, noted, renowned.

celebrated (adjective)	far-famed (adjective)
having an illustrious past	widely known and esteemed
widely known and esteemed