Q. 2

In the following exercises, find the greatest common factor.

$8 a^{2} b^{3}, 10 a b^{2}$

Verified

Answer

The GCF of the given expressions is $2 a b^{2}$ .

1Step 1. Given Information

The given expressions are $8 a^{2} b^{3}, 10 a b^{2}$ .

2Step 2. Factoring

$8 a^{2} b^{3} = 2 \cdot 2 \cdot 2 \cdot a \cdot a \cdot b \cdot b \cdot b 10 a b^{2} = 2 \cdot 5 \cdot a \cdot b \cdot b$

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

$2 \cdot a \cdot b \cdot b = 2 a b^{2}$