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# Is it possible for two numbers to not have a common factor?

Updated: 9/20/2023

Wiki User

12y ago

No. Every set of numbers has 1 as a common factor.

Wiki User

12y ago

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Q: Is it possible for two numbers to not have a common factor?
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### What is the greatest common factor of 34?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.

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It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question.If you meant 8 and 4, then the greatest common factor is 4.You need at least two numbers to find a GCF.

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No because every single number has a factor of one, therefore you have one as the common factor.

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No. Two numbers are relatively prime if they have no prime factors in common. Two even numbers will have 2 as a prime factor in common.

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Yes. Not counting one as a factor, you could have numbers like 6 and 10 which only share one common factor, 2.

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It is not possible to give a sensible answer to this question. The highest common factor (HCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question!

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