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 * 2 * x * x`

`4xy = 2 * 2 * x * 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.