Question

Write the sum of the numbers as the product of their GCF and anothet sum. Problem: 56+64=?

Answer 1

we have

`56+64`

Step
`1`

Find the GCF

we know that

`56=2^(3) *7\\ the \ factors\ are=1,2,4,7,8,14,28,56`

`64=2^(6) \\ the \ factors\ are=1,2,4,8,16,32,64`

`The \ common\ factors\ are\ 1, 2, 4, and\ 8 \\ The\ GCF is\ 8`

Step
`2`

we know that

`(56)/(8) =7\\ \\ (64)/(8) =8`

`(56+64)=(8*7)+(8*8)\\ (56+64)=8*(7+8)`

therefore

the answer is

`(56+64)=8*(7+8)`

Answer 2

It looks like the first thing you have to find is their GCF, ya reckon ?

The factors of 56 are 1, 2, 4, 7, 8, 13, 28, and 56 .

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64 .

The common factors are 1, 2, 4, and 8 .

The greatest one is 8 .

56/8 = 7
64/8 = 8

56 plus 64 = (8 times 7) plus (8 times 8)

56 plus 64 = 8 times (7 plus 8) <== that's the answer

Check it out:

56 plus 64 = 120

8 times (7 plus 8) = 8 times 15 = 120 yay!