typographic terms typography terminology

Terminology: typeface vs. font

Hello all!

I am a Year 1 Graphic Design student and I would like to clear out some terminology issues.

Is the word "typeface" synonymous to the word "font"?

I have heard some people arguing about this matter and now I am eager to know the truth.
Also, some people claim that the word "typeface" is technically incorrect as it is a legacy from the old typesetting times.

Opinions and knowledge are appreciated.


P.S. Sorry if this topic has been discussed. I couldn't find it on search.