Answer :

Answer:

[tex]4x^2[/tex]

Step-by-step explanation:

We are asked to find the GCF of [tex]28x^3[/tex] and [tex]16x^2y^2[/tex].

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:

[tex]x^3=x\cdot x\cdot x[/tex]

[tex]x^2y^2=x\cdot x\cdot y\cdot y[/tex]

The greatest common factor of [tex]x^3[/tex] and [tex]x^2y^2[/tex] is [tex]x^2[/tex].

Upon combining the GCF of numerical part and algebraic part, we will get:[tex]4x^2[/tex]

Therefore, the greatest common factor of both expressions is [tex]4x^2[/tex].

Thanks for taking the time to read Find the GCF Greatest Common Factor of tex 28x 3 tex and tex 16x 2y 2 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

i think the greatest common factor is 4