Question

GCF of 9ab^2 and 6bc^2

Answer 1

For this case we have that by definition, the GCF (Greatest Common Factor) is the largest integer that divides the numbers.

We have the following expressions:

$9ab ^ 2\\6bc ^ 2$

We find the factors of 9 and 6:

$9: 1,3,9\\6: 1,2,3,6$

Thus, the largest number that divides 9 and 6 is 3

It is also observed that "b" is the common variable of both expressions

Therefore, the GCF of the expressions is:

$3b$

Answer:

$3b$