Question

Find the greatest common factor of the following monomials. 45s^6t^5 6s^2t^3 12s^4t^4

Answer 1

$45s^6t^5=3\cdot\boxed{3}\cdot5\cdot \boxed{s^2}\cdot s^4\cdot\boxed{ t^3}\cdot t^2\\\\6s^2t^3=2\cdot\boxed{3}\cdot \boxed{s^2}\cdot \boxed{t^3} \\\\12s^4t^4=2\cdot2\cdot\boxed{3}\cdot \boxed{s^2}\cdot s^2\cdot \boxed{t^3}\cdot t\\\\GCF(45s^6t^5;\ 6s^2t^3;\ 12s^4t^4)=3s^2t^3$