Question

Find the greatest common factors:$25m^4,35m^3,20m^2$.

Short answer

The GCF of the given expressions is$5m^2$.

Step-by-step solution

Step 1. Given information

The given expressions are $25m^4,35m^3,20m^2$.

Step 2. Factoring

• Factor each of the given expressions.

$$\begin{gathered} 25m^4=5·5·m·m·m·m \\ 35m^3=5·7·m·m·m \\ 20m^2=5·4·m·m \end{gathered}$$

• From the factors of the given expression, it is observed that the common factors are $5,m,m$.
• Multiply the common factors to determine the GCF of the given expressions.

$5·m·m=5m^2$

• So, the GCF of the given expressions is$5m^2$.