Middle School

Find the greatest common factor (GCF) of [tex]28x^3[/tex] and [tex]16x^2y^2[/tex].

Answer :

The greatest common factor (GCF) of [tex]28x^{3}[/tex] and [tex]16x^{2} y^{2}[/tex] is the greatest common factor (GCF) of and [tex]16x^{2} y^{2}[/tex] is [tex]4x^{2}[/tex] .

To find the greatest common factor (GCF) of [tex]28x^{3}[/tex] and [tex]16x^{2} y^{2}[/tex]

, we need to identify the common factors between the two expressions.

The prime factorization of is [tex]2.2.7.x.x.x.[/tex]

The prime factorization of [tex]16x^{2} y^{2}[/tex] is [tex]2.2.2.2.x.x.y.y.[/tex]

Now, let's identify the common factors:

Both expressions have [tex]2.2.x.x[/tex] in common.

So, the greatest common factor (GCF) of and [tex]16x^{2} y^{2}[/tex] is [tex]4x^{2}[/tex] .

COMPLETE QUESTION:

Circle the GCF of [tex]28x^{3}[/tex] and [tex]16x^{2} y^{2}[/tex]

[tex]28x^{3}[/tex]: [tex]2.2.7[/tex].*•*•*

[tex]16x^{2} y^{2}[/tex]:[tex]2.2.2.2.x.x.y.y[/tex]

the answer is 4. hope i helped