distribute vs give out

distribute and give out both are verbs.

Word	Noun	Adjective	Verb	Adverb
distribute	No	No	Yes	No
give out	No	No	Yes	No

As verbs, distribute and give out are synonyms defined as:

Other synonyms of distribute include hand out, pass out.

distribute (verb)	give out (verb)
cause to become widely known	stop operating or functioning
to arrange in a systematic order	prove insufficient
distribute or disperse widely	give to several people
cause to be distributed	give off, send forth, or discharge; as of light, heat, or radiation, vapor, etc.
administer or bestow, as in small portions
give to several people
release
be mathematically distributive
be distributed or spread, as in statistical analyses
spread throughout a given area