run across vs run into

run across and run into both are verbs.

Word	Noun	Adjective	Verb	Adverb
run across	No	No	Yes	No
run into	No	No	Yes	No

As verbs, run across and run into are synonyms defined as:

Other synonyms of run across include come across, encounter, meet, see.

run across (verb)	run into (verb)
come together	collide violently with an obstacle
	hit against; come into sudden contact with
	come together
	be beset by