fact vs specific

fact and specific both are nouns.

Word	Noun	Adjective	Verb	Adverb
fact	Yes	No	No	No
specific	Yes	Yes	No	No

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

fact: a piece of information about circumstances that exist or events that have occurred
specific: a fact about some part (as opposed to general)

Other hyponyms of fact include case, detail, item, point, particular, general, matter of fact, observation, reason, score, truth.

fact (noun)	specific (noun)
a piece of information about circumstances that exist or events that have occurred	a medicine that has a mitigating effect on a specific disease
a concept whose truth can be proved	a fact about some part (as opposed to general)
a statement or assertion of verified information about something that is the case or has happened
an event known to have happened or something known to have existed

fact (adjective)	specific (adjective)
	(sometimes followed by `to') applying to or characterized by or distinguishing something particular or special or unique
	being or affecting a disease produced by a particular microorganism or condition; used also of stains or dyes used in making microscope slides
	relating to or distinguishing or constituting a taxonomic species
	stated explicitly or in detail