It is known that the prime factor of A.B.C triad decomposition is: a = 2 × 3 × 3 × 5. B = 2 × 2 × 5. C = 2 × 3 × 5. Then what is the greatest common factor of A.B.C? What is the least common multiple?

It is known that the prime factor of A.B.C triad decomposition is: a = 2 × 3 × 3 × 5. B = 2 × 2 × 5. C = 2 × 3 × 5. Then what is the greatest common factor of A.B.C? What is the least common multiple?

Common factor 10. Common multiple 180

How to decompose the prime factor of all the combined numbers from 1 to 100?
It's very difficult

All the composite numbers can be removed by the prime factor from 2 to 47, including [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47] 4 = 2 * 26 = 2 * 38 = 2 * 2 * 29 = 3 * 310 = 2 * 512 = 2 * 2 * 314 = 2 * 715 = 3 * 516 = 2 * 2 * 2 * 218 = 2 * 3 * 320 = 2 * 2 * 521 = 3 * 722 = 2 * 1124 = 2 * 2 * 325 = 5 * 526 = 2 * 132

It is known that the sum of the greatest common divisor and the least common multiple of two composite numbers is 143______ ．

The least common multiple = the greatest common divisor × their unique divisor, so: 143 = 11 + 11 × 2 × 2 × 3 = 13 + 13 × 2 × 5, when the greatest common divisor is 11, the total numbers that meet the requirements are: 33 and 44; when the greatest common divisor is 13, the total numbers that meet the requirements are: 26 and 65; answer: the two total numbers are 33 and 44, or 26 and 65. So the answer is: 33 and 44, or 26 and 65