Question

What is the greatest common factor (GCF) of the terms 108d² and 216d?

A) 12d
B) 54d
C) 108d
D) 216d

Answer 1

The greatest common factor (GCF) of the terms 108d² and 216d is 12d.

Step-by-step explanation:

To find the greatest common factor (GCF) of the terms 108d² and 216d, we need to factorize the terms and identify their common factors.

Step 1: Factorize 108d². 108 can be factored as 2² * 3³. d² remains unchanged.

Step 2: Factorize 216d. 216 can be factored as 2³ * 3³. d remains unchanged.

Step 3: Identify the common factors. We see that 2² * 3³ is a common factor of both terms.

Therefore, the GCF of 108d² and 216d is 12d. Hence, the correct answer is A) 12d.