Q. 7

Question

In the following exercises, find the greatest common factor.

$35 x^{3} y^{2}, 10 x^{4} y, 5 x^{5} y^{3}$

Step-by-Step Solution

Verified

Answer

The GCF of the given expressions is $5 x^{3} y$ .

1Step 1. Given Information

The given expressions are $35 x^{3} y^{2}, 10 x^{4} y, 5 x^{5} y^{3}$ .

2Step 2. Factoring

Factor each of the given expressions.

$35 x^{3} y^{2} = 5 \cdot 7 \cdot x \cdot x \cdot x \cdot y \cdot y 10 x^{4} y = 2 \cdot 5 \cdot x \cdot x \cdot x \cdot x \cdot y 5 x^{5} y^{3} = 5 \cdot x \cdot x \cdot x \cdot x \cdot x \cdot y \cdot y \cdot y$

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

$5 \cdot x \cdot x \cdot x \cdot y = 5 x^{3} y$

So, the GCF of the given expressions is $5 x^{3} y$ .

Q. 6

Q. 8

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