# How do you find the GCF of 10x^4y^3-5x^3y^2+20x^2y?

Aug 1, 2017

$5 {x}^{2} y$

#### Explanation:

$10 {x}^{4} {y}^{3} - 5 {x}^{3} {y}^{2} + 20 {x}^{2} y$

Greatest Common Factor (GCF):
GCF of 10, 5, 20 = 5
GCF of x^4, x^3, x^2 = x^2
GCF of y^3, y^2, y = y
thus:
$10 {x}^{4} {y}^{3} - 5 {x}^{3} {y}^{2} + 20 {x}^{2} y$
$G C F = 5 {x}^{2} y$