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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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Q: What is the HCF of two consequetive even numbers?
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Related questions

The HCF of two consecutive even numbers is?

The GCF is 2.


Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


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The HCF is the largest number that both numbers can be divided by. If the HCF is 1, that would suggest that the two numbers share no prime factors. Thus, any two numbers which are coprime will have an HCF of 1. Consecutive numbers are good examples here - 15 and 16, 27 and 28, 104 and 105, all have an HCF of 1.


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