Question

Find the common factors of the following:

$\left(i\right)6abc,24a{b}^2,12a^{2}b$

$\left(ii\right)16x^3,-4x^2,32x$

Answer 1

$\left(i\right)6abc=2\times 3\times a\times b\times c$

$24a{b}^2=2\times 2\times 2\times 3\times a\times b\times b$

$12a^{2}b=2\times 2\times 3\times a\times a\times b$

The common factors are 2, 3,a,b.

$2\times 3\times a\times b=6ab$


$\left(ii\right)16x^3=2\times 2\times 2\times 2\times x\times x\times x$

$-4x^2=-1\times 2\times 2\times x\times x$

$32x=2\times 2\times 2\times 2\times 2\times x$

The common factors are 2, 2,x.

$2\times 2\times x=4x$