example vs good example

example and good example both are nouns.

Word	Noun	Adjective	Verb	Adverb
example	Yes	No	No	No
good example	Yes	No	No	No

As nouns, example and good example are synonyms defined as:

Other synonyms of example include exemplar, model.

example (noun)	good example (noun)
a task performed or problem solved in order to develop skill or understanding	something to be imitated
an item of information that is typical of a class or group
something to be imitated
a representative form or pattern
punishment intended as a warning to others
an occurrence of something