03-09-2015
Mathematics

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True or false? The GCF of an odd and even number is always even

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Alondra77 Alondra77

03-09-2015

False,The opposite is true: the GCF of an odd number and an even number is always odd.

All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even.

Thus the only common factors between odd and even numbers must be odd.

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