### Instruction: What is the greatest common divisor of 128, 144 and 480?### Response: To find the greatest common divisor of three numbers, I need to find the largest positive integer that divides all three numbers evenly.
One way to do this is to factor each number into its prime factors and look for the common ones.
128 is a power of 2, so its prime factorization is 2^7.
144 is 2^4 times 3^2, so its prime factorization is 2^4 * 3^2.
480 is 2^5 times 3 times 5, so its prime factorization is 2^5 * 3 * 5.