Question

(21gh^4)(6g^6h^2)(3g^2h^6) find the greatest common factor of the monomials

Answer 1

The answer is
$3g {h}^{2}$
To find greatest common factor, look at the variables: g, h

Look at their coefficients and exponents:
$21g \: \: \: 6 {g}^{6} \: \: \: 3 {g}^{2} \\ {h}^{4} \: \: \: {h}^{2} \: \: \: {h}^{6}$
Find the two groups' GCF:
$3g \\ {h}^{2}$
Combine:
$3g {h}^{2}$