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The numbers 16 and 27 don't have any common prime factors. 16 = 2 x 2 x 2 x 2

27 = 3 x 3 x 3 Therefore, the numbers are relatively prime and their greatest common factor is 1.

Another way to approach this is to look at the difference between 16 and 27, which is 11. The greatest common factor of two numbers cannot be larger than the difference between the two numbers. The greatest common factor of two numbers must also be a factor of the difference between the numbers. The difference, 11, is a Prime number, so the greatest common factor must be either 11 or 1. Since the numbers are not evenly divisible by 11, so the greatest common factor is 1.

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8y ago

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