comment vs mention

comment and mention both are nouns.

Word	Noun	Adjective	Verb	Adverb
comment	Yes	No	Yes	No
mention	Yes	No	Yes	No

As nouns, mention is a hyponym of comment; that is, mention is a word with a more specific, narrower meaning than comment:

comment: a statement that expresses a personal opinion or belief or adds information
mention: a remark that calls attention to something or someone

As verbs, mention is a hypernym of comment; that is, mention is a word with a broader meaning than comment:

Other hypernyms of comment include note, observe, remark.

comment (noun)	mention (noun)
a statement that expresses a personal opinion or belief or adds information	an official recognition of merit
a written explanation or criticism or illustration that is added to a book or other textual material	a remark that calls attention to something or someone
a report (often malicious) about the behavior of other people	a short note recognizing a source of information or of a quoted passage

comment (verb)	mention (verb)
make or write a comment on	make mention of
provide interlinear explanations for words or phrases	commend
explain or interpret something	make reference to