Question

Find the greatest common factor of each set of monomials.

$22b,33c$

Short answer

The greatest common factor of the given set of monomials is 11.

Step-by-step solution

Step 1. Find the factorization of 22b and 33c.

Find the factorization of $22b$and $33c$.

$$\begin{gathered} 22b=2\cdot 11\cdot b \\ 33c=3\cdot 11\cdot c \end{gathered}$$

22bStep 2. Find the greatest common factor of  and 33c.

From the factorization of$22b$ and $33c$, it can be noticed that the greatest common factor of$22b$and $33c$is 11.

Therefore, the greatest common factor of the given set of monomials is 11.