Answer:
2 a b^ 2
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