Factor 16d minus 12 using the GCF

The GCF (Greatest Common Factor) of 16d and 12 is 4. Therefore, we can factor out 4 from both terms:

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

To factor 16d minus 12 using the greatest common factor (GCF), we first find the GCF of both terms, which is 4.

Next, we divide each term by the GCF, 4.

16d divided by 4 is 4d.
12 divided by 4 is 3.

Therefore, 16d minus 12 can be factored as:

4(4d - 3)

To factor 16d minus 12 using the Greatest Common Factor (GCF), we need to find the largest number or term that divides both 16d and 12 evenly.

First, we need to find the GCF of 16d and 12. To do this, we can find the prime factors of both numbers.

The prime factorization of 16d can be written as 2 * 2 * 2 * 2 * d.

The prime factorization of 12 can be written as 2 * 2 * 3.

Now, we look for the common factors between the two expressions. In this case, we have two 2's in both expressions as the common factor. The lowest exponent for the common factor (2^2) is 2.

So, the GCF of 16d and 12 is 2^2 which is equal to 4.

To factor 16d minus 12 using the GCF, we can rewrite the expression as:

4(4d - 3)

Therefore, 16d minus 12 factors to 4(4d - 3) using the GCF.