Question

Find the common factors of the given terms: $12x^{2}y,18x{y}^2$

Answer 1

The expansion of $12x^{2}y$ is $3\times 2\times 2\times x\times x\times y$

And that of $18x{y}^2$ is $3\times 3\times 2\times x\times y\times y$

By factorization, we see that the term $2,3,x,y$ are common to both.

Hence, the common factors of the given terms is $6xy$.