Question

The GCF of 28x^3 and 16x^2y^2

Answer 1

Answer:

$4x^2$

Step-by-step explanation:

We are asked to find the GCF of $28x^3$ and $16x^2y^2$.

The greatest common factor of numerical part would be GCF of 28 and 16.

Factors of 28: 1, 2, 4, 7, 14, 28.

Factors of 16: 1, 2, 4, 8, 16.

The greatest common factor of 28 and 16 is 4.

The GCF of variable part:

$x^3=x\cdot x\cdot x$

$x^2y^2=x\cdot x\cdot y\cdot y$

The greatest common factor of $x^3$ and $x^2y^2$ is $x^2$.

Upon combining the GCF of numerical part and algebraic part, we will get:$4x^2$

Therefore, the greatest common factor of both expressions is $4x^2$.

Answer 2

I think the greatest common factor is 4