Well, isn't that just a happy little math problem we have here. Since the greatest common factor (gcf) of two even numbers is also even, we know that both numbers must be multiples of 8714. The smallest even multiples of 8714 are 8714 and 17428. So, the smallest these two numbers could be is 8714 and 17428.
1700 and 2550
The smallest possible pair of numbers is 1700 and 2550.
1700 and 2550
Two even numbers won't have an odd GCF.
958 and 1437
1700 and 2550
The smallest possible pair of numbers is 1700 and 2550.
1700 and 2550
Two even numbers won't have an odd GCF.
2 AND 3
The smallest of the two numbers could be 850.
958 and 1437
958 and 1437
If the GCF of two numbers is 850, both numbers are multiples of 850. Multiples of 850 include 850, 1700, 2250 and so on. The smallest two numbers that have a GCF of 850 are 850 and 1700. But 1700 is divisible by 850. 1700 and 2250 are the next two smallest and are not divisible by each other.
29500 to 30499
The smallest pair of numbers with greatest common factor of 850 would be 850 and 1700.850 x 1 = 850850 x 2 = 1700If neither number can be 850, or it is specified that neither number is divisible by the other, the next smallest pair would be 1700 and 2550.850 x 2 = 1700850 x 3 = 2550If both are allowed to be 850 then the pair would be 850 and 850.850 x 1 = 850850 x 1 = 850If 0 is allowed, then it would be 850 and 0.850 x 0 = 0850 x 1 = 850If you have the greatest common factor and multiply it by two different numbers that are relatively prime (in other words, they have no factors in common), you will have a pair of numbers whose greatest common factor is the number given. The smallest pair is 1 and 2, but one number would be divisible by the other. The next smallest pair is 2 and 3, and neither number will be divisible by the other.1700 and 2550
They could be 3018 and 3018 unless they need to be different numbers, in which case they would be 3018 and 6036.