Answer:
16(2z -3)
Explanation:
There are two ways of solving this problem.
List out the factors of the numbers:
32z - 48
= 32 * z - 48
32= 1, 2, 4, 8, 16, 32
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
the largest common factor that both numbers have in common is 16,
So factoring the equations means the one has to divide the equation by 16 and write it outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)
Another way of solving the problem:
prime factorize the number:
32 = 2^5
48 = 2^4 * 3
Both numbers have 2^4 as their largest factor in common meaning that that is their GCF. 2^4 is 16.
Now factor out 16 and write it on the outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)