Q15. - Algebra 1

Question

Find the greatest common factor of each set of monomials.

$22b,33c$

Step-by-Step Solution

Answer

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

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

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

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

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

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.