Find the greatest common factor of the following monomial 6bc and 9b^2c

Both 6bc and 9b²c are multiples of the number 3bc - we can rewrite them as

3bc · 2 and 3bc · 3b

Since the two monomials share the factors 3, b and c, their greatest common factor is 3bc.

The greatest common factors would be the biggest number that goes into both of these monomial.

As we can see, they both have one b and one c. This is the largest number of b's and c's it can have, as it can't be any bigger.

Also, the greatest common factor of 6 and 9 is 3.

So, the answer is 3bc.