To factor 16d − 12 using the GCF (Greatest Common Factor), we need to find the highest factor that both 16d and 12 have in common.
First, we can calculate the GCF of 16 and 12.
Factors of 16: 1, 2, 4, 8, 16
Factors of 12: 1, 2, 3, 4, 6, 12
The highest factor that both 16 and 12 have in common is 4.
Now, let's check if the variable 'd' is a factor for both terms. Since 'd' appears in both terms, it is a common factor.
Therefore, the GCF of 16d and 12 is 4d.
To factor out the GCF, divide each term by the GCF:
16d ÷ 4d = 4
12 ÷ 4d = -3
Now, we can write the factored form as:
16d − 12 = 4d(-3)
So, the factored form of 16d − 12 using the GCF is 4d(-3).