Can someone bigmamma explain the question below to my daughter. i grew up on basic math.
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question-
tasha believes that she can rewrite the difference 120-36 as a product of the gcf of the two numbers and another difference. is she correct? explain?

She is correct.   Allow me to illustrate with an illustrative example:

The factors of  36  are  1,  2,  3,  4,  6,  9,  12, 18, and  36 .

The factors of  120  are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120 .

The common factors are 1, 2, 3, 4, 6, and 12 .

The greatest one is  12 .

36   =  12 x 3

120  =  12 x 10

So  (120 - 36) =  (12 x 10) - (12 x 3)  and that's   12 (10 - 3) .