The problem asks us to factor the expression $7x^2 - 56x$ by factoring out the greatest common factor.

1. Problem Description

The problem asks us to factor the expression $7x^2 - 56x$ by factoring out the greatest common factor.

2. Solution Steps

To factor the expression $7x^2 - 56x$, we need to find the greatest common factor (GCF) of the two terms.

The factors of $7x^2$ are $1, 7, x, x^2, 7x, 7x^2$.

The factors of $56x$ are $1, 2, 4, 7, 8, 14, 28, 56, x, 2x, 4x, 7x, 8x, 14x, 28x, 56x$.

The GCF of $7x^2$ and $56x$ is $7x$.

Now, we factor out the GCF from the expression:

$7x^2 - 56x = 7x(x) - 7x(8) = 7x(x - 8)$.

3. Final Answer

The factored expression is $7x(x-8)$.