The greatest common factor of two natural numbers is 8, and the least common multiple is 120. The minimum difference between the two numbers is (), and the maximum is ()

The greatest common factor of two natural numbers is 8, and the least common multiple is 120. The minimum difference between the two numbers is (), and the maximum is ()

The mass factor of 120 is obtained as follows
120 = 2×2×2×3×5 = 8 ×3×5
Since the greatest common factor is 8, both numbers are multiples of 8. The biggest and smallest difference is to write on the extra 3 and 5 of 120
If you put one on one side, that is, 8 × 3 = 24, 8 × 5 = 40, the difference between the two numbers is the smallest, 40 - 24 = 16;
Put them all on one side, that is, 8 × 3 × 5 = 120, and the other side is 8. At this time, the maximum difference between the two numbers is 120 - 8 = 112