Q. 5

In the following exercises, find the greatest common factor.

$10 a^{3}, 12 a^{2}, 14 a$

Verified

Answer

The GCF of the given expressions is $2 a$ .

1Step 1. Given Information

The given expressions are $10 a^{3}, 12 a^{2}, 14 a$ .

2Step 2. Factoring

$10 a^{3} = 2 \cdot 5 \cdot a \cdot a \cdot a 12 a^{2} = 2 \cdot 2 \cdot 3 \cdot a \cdot a \cdot a 14 a = 2 \cdot 7 \cdot a$

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

$2 \cdot a = 2 a$