The greatest common divisor of two positive integers is 7 and the least common multiple is 105

The greatest common divisor of two positive integers is 7 and the least common multiple is 105

∵ 105 △ 7 = 15; 15 = 3 × 5; ∵ one of these two numbers contains a prime factor 3, the other contains a prime factor 5, ∵ the greatest common divisor of two positive integers is 7, ∵ 7 × 3 = 21; 7 × 5 = 35. Answer: these two numbers are 21 and 35