# What is the GCF of 16, 24, and 32?

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Working out all the factors of 16, 24 and 32, you will find that 8 is the greatest one that all of them share.

Also, you cannot have a factor that is greater than half of the lowest number, so 8 is the greatest possible factor of 16. It is also the difference between all the numbers, so it is a good place to begin.

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Write each number as the product of its prime factors.

It is then very easy to see exactly what factors they have in common.

From this, the LCM can also be found easily.

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