Question

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

Answer 1

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!    

Answer 2

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

$\frac{56}{8} =7\\ \\ \frac{64}{8} =8$

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

therefore

the answer is

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