Question

Find the highest common factor of 24 and 36.

Answer 1

First, we will find out the factors of 24 and 36 by prime factorization.
$24=2\times 12=2\times 2\times 3\times 2$
$36=2\times 18=2\times 2\times 3\times 3$
From the prime factorization of 24 and 36, we can observe that $(2\times 2\times 3)$ is common to both 24 and 36 in their prime factorization.
So, it will be their highest common factor.
Therefore, the Highest common factor of 24 and $36=2\times 2\times 3=12$