1 and 2 are their only common factors.
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43, 86, 129, 172, 215, 258, 301, 344 +43 . . .
The numbers that go into 35 are 1, 5, 7, and 35. The numbers that go into 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.
None of the numbers you listed are evenly divisible by 1000.
Yes, 258 is divisible by 6, since 43 x 6 = 258
You could go for the extreme and say that, since both numbers are positive integers, the product is greater than 1. Also, since both numbers are smaller than 1000, the product is less than 1000*1000 = 1000000. You could narrow it down to between 3*500 and 3*600 that is, in the range (1500, 1800). If your mental arithmetic is good, you could do 3*560 and 3*570 = (1680, 1710).