Question

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

$12a{x}^2,6a^2{x}^3\text{and}2a^3{x}^5$

Answer 1

$12a{x}^2,6a^2{x}^3\text{and}2a^3{x}^5$

HCF of 12, 6, 2 = 2

HCF of $a,a^2,a^3=a$

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

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