immortalize vs eternize

immortalize and eternize both are verbs.

Word	Noun	Adjective	Verb	Adverb
immortalize	No	No	Yes	No
eternize	No	No	Yes	No

As verbs, immortalize and eternize are synonyms defined as:

Other synonyms of immortalize include eternalise, eternalize, eternise, immortalise.

immortalize (verb)	eternize (verb)
make famous forever	make famous forever
be or provide a memorial to a person or an event	cause to continue indefinitely