Question

what is the HCF of 72, 64​

Answer 1

The HCF of 64 and 72 is 8.

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Answer 2

To find : HCF of  $72$ and $64$

Solution :  

• HCF is the highest common factor also called as greatest common divisor ,( GCD ).

• To find HCF of $72$ and $64$ we find prime factors of these numbers .

• Prime factors are:

• Prime factors of $72$ $= 2\times 2\times 2\times 3\times 3$

                                        $= 2^{3}\times 3^{2}$

• Prime factors of $64$ = $2\times 2\times 2\times 2\times 2\times 2$

                                        $=2^{6}$

• HCF of  $72$ and $64$  = $2\times 2\times 2$

                                      $= 8$

 Hence , HCF of $72$ and $64$ is $8$.