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Not only can they, but they must.

An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.

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14y ago

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More answers

No. Odd numbers can't have any even factors, much less a GCF.

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13y ago
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That can't happen. Odd numbers don't have even factors.

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7y ago
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No. An odd number has no even factor. So two odd numbers can't have the same even factor.

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15y ago
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No, always odd.

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7y ago
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No, it is never even.

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7y ago
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No.

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9y ago
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Yes.

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9y ago
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Q: Is the greatest common factor of any 2 odd numbers odd?
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There is neither a greatest common factor nor common factors of a single number, such as 2060, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.


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