come out vs come forward

come out and come forward both are verbs.

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

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

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

come out (verb)	come forward (verb)
appear or become visible; make a showing	make oneself visible; take action
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