Q. 6 - Intermediate Algebra

Question

In the following exercises, find the greatest common factor. 

$20y^3,28y^2,40y$

Step-by-Step Solution

Answer

The GCF of the given expressions is $4y$.

Step 1. Given Information

The given expressions are $20y^3,28y^2,40y$.

Step 2. Factoring

• Factor each of the given expressions.

$$\begin{gathered} 20y^3=2·2·5·y·y·y \\ 28y^2=2·2·7·y·y \\ 40y=2·2·2·5·y \end{gathered}$$

• From the factors of the given expression, it is observed that the common factors are $2,2,y$.
• Multiply the common factors to determine the GCF of the given expressions.

$2·2·y=4y$

• So, the GCF of the given expressions is $4y$.