Question

Highest common factor of 72 and 96

Answer 1

24

Explanation:

Prime Factorise 72:

`72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2`

Prime factorise 96:

`96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3`

Multiply the common factors of
`2^3*3^2` and
`2^5*3`:

`2^3*3=24`