Yes, two odd numbers can have a greatest common factor of 1 if they have no factors in common. For example, 5 and 7 have a GCF of 1, as do 63 and 55.
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No. Odd numbers only have odd factors. They could not have an even factor in common.
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No. The GCF of 25 and 35 is 5.
No, the GCF of an odd an even number is not always 1. Odd and even numbers can share factors other than 1. For example, the greatest common factor of 5 and 10 is 5.
No. Double any odd number. The result is even.