The greatest common factor of two numbers is 12 and the least common multiple is 120. The difference between these two numbers is 36. What are these two numbers? How to solve primary school mathematics? The greatest common factor of two numbers is 12, which proves that both numbers are multiples of 12. Assuming that the first number is 12x, and the second number is 12y, then 12xy= 120, xy= 10 (this step can be derived from primary school mathematics, and I have set an unknown number for the convenience of narration). It means that in two numbers, except the common factor, the product of the other multipliers is 10 (drawing a short dividing line is easier to understand). Then, there are only two possibilities for two numbers to be multiplied by 10, 1x 10 or multiples of 2×5. Judging from the difference of 36 between the two numbers, it is 2×5 (because 5-2=3, 3x 12=36). So the results are 12x2=24 and 12x5=60.