Question

Find the greatest common factors (GCF / HCF) of the following polynomials :

$14x^3{y}^5,10x^5{y}^3,2x^2{y}^2$

Answer 1

$14x^3{y}^5,10x^5{y}^3,2x^2{y}^2$

HCF of 14, 10, 2, = 2

HCF of $x^3,x^5,x^2=x^2$

HCF of $y^5,y^3,y^2=y^2$

$\therefore \text{HCF}=2x^2{y}^2$