What is the greatest common factor of 72,96 and

128

The prime factorization of 72 is 2^3 * 3^2.

The prime factorization of 96 is 2^5 * 3.
The prime factorization of 128 is 2^7.

To find the greatest common factor, we need to find the highest power of 2 and 3 that is common to all three numbers.

The highest power of 2 that is common to all three numbers is 2^3 = 8.
The highest power of 3 that is common to all three numbers is 3^1 = 3.

Therefore, the greatest common factor of 72, 96, and 128 is 8 * 3 = 24.