which of the following is the gcf of 4x^2y and 4x
f- x^2
g-4x
h-4
j-2x
To find the greatest common factor (GCF) of 4x^2y and 4x, we need to look for the common factors in both terms and choose the greatest one.
Let's break down each term to their prime factors:
4x^2y:
- 4 can be factored as 2 * 2.
- x^2 remains the same.
- y remains the same.
4x:
- 4 can be factored as 2 * 2.
- x remains the same.
Now, let's see the common factors:
- Both terms have a factor of 2 * 2, which is 4.
- Additionally, both terms have a factor of x.
Therefore, the greatest common factor (GCF) of 4x^2y and 4x is 4x (option g).