Question

Find the greatest common factor of $6x^2{y}^2,9x{y}^3,3x^4{y}^6$.

Answer 1

$6x^2{y}^2=2\times 3\times x\times x\times y\times y$

$9x{y}^3=3\times 3\times x\times y\times y\times y$

$3x^4{y}^6=3\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y$

Taking the common monomial, we get $3\times x\times y\times y$ = $3x{y}^2$

Thus, the greatest common factor of $6x^2{y}^2,9x{y}^3,3x^4{y}^6$ $=$ $3x{y}^2$.