Question

What is the Greatest Common Factor (GCF) of the following terms?

Answer 1

Answer:

2 a b^ 2

Step-by-step explanation:

1. Find the GCF for the numerical part  22 ,  18

2. Find the GCF for the variable part  a ^1 , b^ 3 , a^ 4 ,b^ 2

3. Multiply the values together

1. The common factors for  22,  18  are  1 , 2. The Greatest common factor is 2.

2. Next, find the common factors for the variable part:  a ^1 , b^ 3 , a^ 4 ,b^ 2.

For a^1 it's a itself

For b^3 it's b*b*b

For a^4 it's a*a*a*a

For b^2 it's b*b

The common factors for the variables a ^1 , b^ 3 , a^ 4 ,b^ 2   are  a *b*b.

a*b*b is ab^2

3. Multiply the GCF of the numerical part  2

and the GCF of the variable part ab^2. That is  2 a b^ 2