Question

Find HCF of 168 and 264 by prime factorisation method.​

Answer 1

The answer is 58 and 96 respectively :)

Answer 2

Answer:

The HCF of $168$ and $264$ is $24$.  

Step-by-step explanation:

Given : The numbers are $168$ and $264$.

To find : The HCF of the above number by prime factorization method.

Solution :

• The given numbers are $168$ and $264$.
• We have to find the HCF of the above numbers by prime factorization method.
• To find the HCF of the above numbers, we have to find the factors of the given  numbers.
• Factors are,

 $168 = 2*84$

      $=2*2*42$

      $=2*2*2*21$

      $=2*2*2*3*7$

$264 =2*132$

    $=2*2*66$

    = $2*2*2*33$

    = $2*2*2*3*11$

• Now,we can see that the common factors of $168$ and $264$ are $2,2,2$ and $3$.
• The HCF of $168$ and $264$ = $2*2*2*3$

                                  = $24$

• ∴ The HCF of $168$ and $264$ is $24$.