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One only has one factor. If you have to, you can use (1,1)
Squares (or cubes or more) of prime numbers have one distinct prime factor, but if you're counting them individually, all composite numbers have at least two prime factors.
the factors of 753 are 3 and 251 and 251 have only one factor that is 1 hence 8 is not a factor of 753
I think you already did. Prime numbers have exactly two factors. 1 is not a prime number because it has only one factor.
The only common factor is one.