Question

hcf of 120,168
find hcf​

Answer 1

120=2*2*2*3*5

168=2*2*2*3*7

HCF = 24

Answer 2

In context to question asked,

We have to determine the HCF of given number.

As per question,

We have, numbers - 120 and 168

As we know that,

HCF of two or more number are that particular number which is highest number which is also a common factor of all the given number.

So, for determining the HCF of given number we will use prime factorization method.

Hence, Prime factorization of given number will be,

$120= 3\times 5\times 2\times 2 \times 2\\168 = 2\times 2 \times 2\times 3 \times 7 \\HCF = 2\times 2 \times 2\times 3= 24 \:(Common \:number\:among\:all)$

Hence, HCF of the given number will be 24