# Apply the distributive property to factor out the greatest common factor.

56+32=

## 56+32 = 8*7 + 8*4 = 8(7+4)

## To apply the distributive property and factor out the greatest common factor, you need to find the greatest common factor of 56 and 32, and then rewrite the expression using the distributive property.

To find the greatest common factor of 56 and 32, we can list the factors of each number:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 32: 1, 2, 4, 8, 16, 32

The greatest common factor (GCF) is the largest number that divides both 56 and 32 evenly. In this case, the GCF is 8.

Using the distributive property, we can rewrite the expression as:

56 + 32 = (8 * 7) + (8 * 4)

Now, we can factor out the GCF of 8:

56 + 32 = 8 * (7 + 4)

Therefore, the expression 56 + 32 can be factored out with the greatest common factor of 8 as 8 * (7 + 4).

## To factor out the greatest common factor (GCF) from a given expression, you need to find the largest number or variable that can divide evenly into all the terms. In this case, let's start by identifying the GCF for the numbers 56 and 32.

To do that, we will list the factors of both numbers:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 32: 1, 2, 4, 8, 16, 32

The common factors between both numbers are 1, 2, 4, and 8. The greatest common factor is 8.

Now, we can apply the distributive property by factoring out the GCF of 8 from the expression 56 + 32:

56 + 32 = 8 * (7 + 4)

We have factored out the GCF of 8 and rewritten the expression using the distributive property.