run away vs go away

run away and go away both are verbs.

Word	Noun	Adjective	Verb	Adverb
run away	No	No	Yes	No
go away	No	No	Yes	No

As verbs, go away is a hypernym of run away; that is, go away is a word with a broader meaning than run away:

Other hypernyms of run away include go forth, leave.

run away (verb)	go away (verb)
flee; take to one's heels; cut and run	get lost, as without warning or explanation
escape from the control of	go away from a place
	move away from a place into another direction
	become invisible or unnoticeable