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Two numbers that are 2 apart cannot both be multiples of 3 or greater, as there would not be enough space to add the amount on to the lower number. Thus the greatest possible common factor would be 2. Both of the numbers are even, and so can divide by two. Thus we know the HCF of two consecutive even numbers must be 2.
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Earn +20 ptsQ: What is the HCF of two consequetive even numbers?
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