Find the H.C.F of 24 and 64.

Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. Also known as GCD (Greatest Common Divisor).

We have to find the HCF of 24 and 64.
Prime factorisation of 24 and 64 is,
24 = $2\times2\times2\times3$
64 = $2\times2\times2\times2\times2\times2$

Therefore,

HCF of 24 and 64 $=2\times2\times2$$=8.$

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Updated on: 10-Oct-2022

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