extort vs gouge

extort is not a noun while gouge is a noun.

Word	Noun	Adjective	Verb	Adverb
extort	No	No	Yes	No
gouge	Yes	No	Yes	No

As verbs, extort and gouge are synonyms defined as:

Other synonyms of extort include rack, squeeze, wring.

extort (noun)	gouge (noun)
	the act of gouging
	and edge tool with a blade like a trough for cutting channels or grooves
	an impression in a surface (as made by a blow)

extort (verb)	gouge (verb)
get or cause to become in a difficult or laborious manner	force with the thumb
obtain by coercion or intimidation	make a groove in
obtain through intimidation	obtain by coercion or intimidation