get through vs finish up

get through and finish up both are verbs.

Word	Noun	Adjective	Verb	Adverb
get through	No	No	Yes	No
finish up	No	No	Yes	No

As verbs, get through and finish up are synonyms defined as:

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

get through (verb)	finish up (verb)
finish a task completely	finish a task completely
become clear or enter one's consciousness or emotions	finally be or do something
be in or establish communication with
succeed in reaching a real or abstract destination after overcoming problems
spend or pass, as with boredom or in a pleasant manner; of time