come forward vs come out

come forward and come out both are verbs.

Word	Noun	Adjective	Verb	Adverb
come forward	No	No	Yes	No
come out	No	No	Yes	No

As verbs, come forward and come out are synonyms defined as:

Other synonyms of come forward include come to the fore, step forward, step to the fore, step up.

come forward (verb)	come out (verb)
make oneself visible; take action	appear or become visible; make a showing
	be issued or published
	break out
	come out of
	take a place in a competition; often followed by an ordinal
	be made known; be disclosed or revealed
	to state openly and publicly one's homosexuality
	bulge outward
	make oneself visible; take action
	drop out
	result or end