Q. 1

In the following exercises, find the greatest common factor.

$10 p^{3} q, 12 p q^{2}$

Verified

Answer

The GCF of the given expressions is $2 p q$ .

1Step 1. Given information

The given expressions are $10 p^{3} q, 12 p q^{2}$ .

2Step 2. Factoring

$10 p^{3} q = 2 \cdot 5 \cdot p \cdot p \cdot p \cdot q 12 p q^{2} = 2 \cdot 6 \cdot p \cdot q \cdot q$

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

$2 \cdot p \cdot q = 2 p q$