finish off vs finish up

finish off and finish up both are verbs.

Word	Noun	Adjective	Verb	Adverb
finish off	No	No	Yes	No
finish up	No	No	Yes	No

As verbs, finish off and finish up are synonyms defined as:

Other synonyms of finish off include clear up, get through, mop up, polish off, wrap up.

finish off (verb)	finish up (verb)
finish a task completely	finish a task completely
	finally be or do something