Question

what is the gcf of 14x2 and 4xy

Answer 1

Hi there! The greatest common factor/divisor (gcf / gcd) is 2x.

We can see this by writing the numbers as multipliers:
$14 {x}^{2} = 7 \times 2 \times x \times x$
$4xy = 2 \times 2 \times x \times y$


Now we can see that the factors which are in common are 2 and x. Therefore the greatest common factor/divisor (gcf / gcd) of the two numbers is 2x.