Question

(14u^6v^4)(6u^4v^2)(22u^3v^4) find the greatest common factor of the monomials

Answer 1

$14u^6v^4=2\cdot7\cdot u^6 \cdot v^4\\ 6u^4v^2=2\cdot3\cdot u^4 \cdot v^2\\ 22u^3v^4=2\cdot 11 \cdot u^3 \cdot v^4\\\\ \text{gcf}(14u^6v^4,6u^4v^2,22u^3v^4)=2\cdot u^3 \cdot v^2=2u^3v^2$