influence vs determining factor

influence and determining factor both are nouns.

Word	Noun	Adjective	Verb	Adverb
influence	Yes	No	Yes	No
determining factor	Yes	No	No	No

As nouns, determining factor is a hypernym of influence; that is, determining factor is a word with a broader meaning than influence:

Other hypernyms of influence include causal factor, determinant, determinative, determiner.

influence (noun)	determining factor (noun)
causing something without any direct or apparent effort	a determining or causal element or factor
a power to affect persons or events especially power based on prestige etc	an argument that is conclusive
a cognitive factor that tends to have an effect on what you do
one having power to influence another
the effect of one thing (or person) on another

influence (verb)	determining factor (verb)
shape or influence; give direction to
induce into action by using one's charm
have and exert influence or effect