Use the distributive property to express each sum with the GCF factored out

32+56

32 = 8 * 4

56 = 8 * 7

so
32 + 56 = 8 (4+7)

8 (4+7)

To use the distributive property to express the sum of 32 + 56 with the Greatest Common Factor (GCF) factored out, we need to find the GCF of 32 and 56.

To find the GCF, we can start by listing the factors of each number:

Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

The common factors of 32 and 56 are 1, 2, and 4. Out of these common factors, the largest one is 4, so the GCF of 32 and 56 is 4.

Now, we can express the sum of 32 + 56 with the GCF factored out using the distributive property:

32 + 56 = (4 * 8) + (4 * 14)

Now we can factor out the GCF, which is 4, from each term:

32 + 56 = 4 * (8 + 14)

Simplifying further:

32 + 56 = 4 * 22

Therefore, using the distributive property with the GCF factored out, the sum of 32 + 56 is expressed as 4 * 22.