First thing that the Babylonians had and the Egyptians did not is place value system, also called positional system: system where the same digits could be re-used to mean different values
Babylonians also had the base of 60, while Egyptians can be said to have a base of 10 (but not as part of a positional system)
Egyptians, however, unlike Babylonians, had the concept and a number for 0.