Question

Highest common factor of 72 and 96

Answer 1

Answer:

24

Step-by-step 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 $2^5*3$:

$2^3*3=24$