Yes, and this is in fact often the case.
One example would be the greatest common factor of two prime numbers, since by definition a Prime number's only factors are itself and one.
The greatest common factor of 18 and 55 is 1.
The greatest common factor of 31 and 46 is 1.
The Greatest Common Factor of 3, 11 is 1.
The Greatest Common Factor (GCF) is: 1
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The greatest common factor of 18 and 55 is 1.
The greatest common factor of 52 and 81 is 1
The greatest common factor of 10 and 17 is 1.
The greatest common factor of 31 and 46 is 1.
The Greatest Common Factor of 3, 11 is 1.
The greatest common factor of 1-x3 is 1, dummy.
The Greatest Common Factor (GCF) of 1 and 12 is 1
The Greatest Common Factor of 3, 8, 12: 1
The GCF is 1.
The Greatest Common Factor (GCF) is: 1
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1 is the greatest common factor.