Question

Find the greatest common factor (GCF/HCF) of the following polynomials :
$a^2{b}^3,a^3{b}^2$

Answer 1

$a^2{b}^3=a\times a\times b\times b\times b$
$a^3{b}^2=a\times a\times a\times b\times b$

$\therefore \text{GCF of}{a}^2{b}^3,a^3{b}^2=a\times a\times b\times b$
$=a^2{b}^2$

Hence, the greatest common factor is $a^2{b}^2$.