finish up vs finish off

finish up and finish off both are verbs.

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

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

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

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