Q. 339 - Intermediate Algebra

Question

In the following exercises, find the greatest common factor. 

$15y^3,21y^2,30y$

Step-by-Step Solution

Answer

The greatest common factor is $3y$.

Step 1. Given information.

The expressions are, 

$15y^3,21y^2,30y$.

Step 2. Finding the greatest common factor.

Now, the factored form of the given expressions is 

$$\begin{gathered} 15y^3=3\times 5\times y\times y\times y \\ 21y^2=3\times 7\times y\times y \\ 30y=2\times 3\times 5\times y \end{gathered}$$

Then the common factors are 

$3\times y=3y$

Hence, the greatest common factor is $3y$.