Question

Find the HCF of $144$and $180$ by prime factorization method.

Answer 1

Find HCF

We, use the prime factorization method

prime factorization of $144=2\times 2\times 2\times 2\times 3\times 3$

prime factorization of $180=3\times 3\times 2\times 2\times 5$

So, HCF = $3\times 3\times 2\times 2=36$

Hence, HCF of $144$and $180$ is $36$.