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].
