Question

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

Answer 1

i think the greatest common factor is 4

Answer 2

`4x^2`

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`.