factor 16d - 12 using the GCF

To factor 16d - 12 using the GCF (Greatest Common Factor), we need to find the largest number or variable that can divide both 16d and 12.

First, let's find the GCF of 16d and 12.

The prime factorization of 16d: 2 * 2 * 2 * 2 * d
The prime factorization of 12: 2 * 2 * 3

The common factors of 16d and 12 are 2 (appears twice).

Therefore, the GCF of 16d and 12 is 2 * 2 = 4.

Now, we can factor out 4 from 16d - 12:

16d - 12 = 4(4d - 3)

So, the factored form of 16d - 12 using the GCF is 4(4d - 3).

Factor 9z + 18 using the GCF

To factor 9z + 18 using the GCF (Greatest Common Factor), we need to find the largest number or variable that can divide both 9z and 18.

First, let's find the GCF of 9z and 18.

The prime factorization of 9z: 3 * 3 * z
The prime factorization of 18: 2 * 3 * 3

The common factors of 9z and 18 are 3 and 3.

Therefore, the GCF of 9z and 18 is 3 * 3 = 9.

Now, we can factor out 9 from 9z + 18:

9z + 18 = 9(z + 2)

So, the factored form of 9z + 18 using the GCF is 9(z + 2).