Factor 16d − 12 using the GCF
To factor the expression 16d - 12 using the greatest common factor (GCF), we first need to find the GCF of the coefficients 16 and 12. The GCF of 16 and 12 is 4.
Next, we factor out the GCF from each term:
16d - 12 = 4(4d - 3)
Therefore, the factored form of 16d - 12 using the GCF is 4(4d - 3).
To factor the expression 16d - 12 using the Greatest Common Factor (GCF), we need to first find the GCF of the coefficients 16 and 12.
Step 1: Find the GCF of 16 and 12
To find the GCF, we can determine the prime factors of both numbers.
Prime factorization of 16:
16 = 2^4
Prime factorization of 12:
12 = 2^2 * 3
To find the GCF, we need to take the common factors and multiply them together:
The common factors are 2^2 = 4.
Step 2: Divide each term by the GCF
Now that we have found the GCF, we divide each term of the expression by this factor.
16d / 4 = 4d
12 / 4 = 3
So, the expression 16d - 12 can be factored as 4d - 3.
To factor 16d - 12 using the GCF (Greatest Common Factor), we need to find the largest common factor of both terms.
First, let's find the GCF of 16d and 12.
The factors of 16d are 1, 2, 4, 8, 16, d, 2d, 4d, 8d, and 16d.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The common factors between 16d and 12 are 1 and 4.
Therefore, the GCF of 16d and 12 is 4.
To factor out the GCF from 16d - 12, we divide each term by 4:
(16d)/4 - (12)/4
Simplifying, we have:
4d - 3
So, the factored form of 16d - 12 is 4(4d - 3).