It's part of the identity property. Pick a number. Multiply it by one. The answer will be the number. That means that every number has the factor pair of itself and 1, so every number has one as a common factor.
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The least common factor is always one (1), regardless of what the greatest common factor is.
Answer: None, it is impossible. No single number has a greatest common factor. A "common factor" is a factor that two or more numbers have in common. The "greatest common factor" is the largest factor that two or more numbers have in common.
The only common factor of 27 and 64 is one.
The greatest common factor of 25 and 34 is one.
Common factor requires more than one number.