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Why is the greatest common factor of 2 numbers sometimes 1

Why is the greatest common factor of 2 numbers sometimes 1
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Why is the greatest common factor of 2 numbers sometimes 1

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User Kertis Van Kertis
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2 Answers

5 votes
If the numbers are prime then the only factors are the numbers and 1.
For example - the factors of 5 are 1 and 5 and the factors of 7 are 1 and 7 so they only share the number 1. That is the GCF of 5 and 7.
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User Rawan
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1 vote
The greatest common factor of two numbers, one of which is 1, will always be 1.
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User RWGodfrey
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