Others have given you examples, but they can mean the same thing. Usually, people will say “this building has 30 stories, and the viewing platform is on the 28th floor. “ Story or stories gives you a general sense, and floor is more specific.

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Floor is bottom part(the supporting surface) of a room. But storey (plural stories) is a complete level of a building.

Story is an account of imaginary or real people and floor is where you walk