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No. The definition of a composite number is a natural number that isn't prime (or 1). The definition of a prime number is one with only 2 factors (itself and 1).
Where the numerator and denominator have no further common factors
That's its definition. If it had more than two factors, it wouldn't be a prime number.
Positive integers with more than two factors.
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. 3 is a common factor of 9 and 12.