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A single number cannot have a greatest common factor because "common" refers to factors that two or more numbers have in common. You have only one, which is 479. Also, only one number can be the greatest.
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.
Numbers don't stop in either direction. The smallest positive number not starting with 0 is 1. The smallest negative number is infinite.
479, 958, 1437, 1916, 2395, 2874, 3353, 3832, 4311, . . .
If you mean 2, 3 and 7 as factors then the smallest number is 42