Just 1.
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Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors
All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.
No. That isn't possible: A prime number, by definition, has no smaller factors. A square number does have a smaller factor - the number that is squared.
Because prime numbers only have one factor pair.
Prime numbers.