Question

Find the $\mathrm{HCF}$ of $24$ and $36$ ?

Answer 1

Find the $\mathrm{HCF}$ of given numbers

Given numbers are $24$ and $36$.

$\mathrm{HCF}$ is the product of the smallest power of each common prime factor in the prime factorization of the numbers.

Prime factorization of $24=2\times 2\times 2\times 3=2^3\times 3$

Prime factorization of $36=2\times 2\times 3\times 3=2^2\times 3^2$

$\mathrm{HCF}(24,36)=2\times 2\times 3=12$

Hence, the $\mathrm{HCF}$ of $24$ and $36$ is $12$.