The greatest common divisor of two numbers is 60, the least common multiple is 720, and one of them is 180. What is the difference between the two numbers?

The greatest common divisor of two numbers is 60, the least common multiple is 720, and one of them is 180. What is the difference between the two numbers?

The decomposition quality factor of 60 is: 60 = 2 * 2 * 3 * 5
The prime factor of 180 is: 180 = 2 * 2 * 3 * 3 * 5 = (2 * 2 * 3 * 5) * 3
720 decomposition quality factor is: 720 = 2 * 2 * 2 * 2 * 3 * 3 * 5 = (2 * 2 * 3 * 5) * (2 * 2 * 3)
So, another number is: 2 * 2 * 60 = 240
The difference between the two numbers is: 240-180 = 60

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