The problem asks us to find the greatest common factor (GCF) of the terms in the polynomial $4x^4 - 16x^3$.

1. Problem Description

The problem asks us to find the greatest common factor (GCF) of the terms in the polynomial $4x^4 - 16x^3$.

2. Solution Steps

To find the GCF, we need to find the greatest common factor of the coefficients and the greatest common factor of the variable terms.

First, consider the coefficients 4 and

1

6. The factors of 4 are 1, 2, and

4. The factors of 16 are 1, 2, 4, 8, and

1

6. The greatest common factor of 4 and 16 is

4.

Next, consider the variable terms $x^4$ and $x^3$. The GCF of $x^4$ and $x^3$ is $x^3$ since it is the lowest power of $x$ that appears in both terms.

Therefore, the GCF of $4x^4$ and $-16x^3$ is $4x^3$.

3. Final Answer

$4x^3$