Step 1

Given,

72 and 48

We have to find the HCF of 72 and 48 using the prime factorization method.

Step 2

Doing the prime factorization of 72 and 48

\(72=2^{3}\times 3^{2}\)

\(48=2^{4}\times 3^{1}\)

\(\Rightarrow HCF (72,48) =2^{3}\times 3^{1}\) (taken the lowest power of prime factors)

\(\Rightarrow HCF (72,48) = 24\)

Given,

72 and 48

We have to find the HCF of 72 and 48 using the prime factorization method.

Step 2

Doing the prime factorization of 72 and 48

\(72=2^{3}\times 3^{2}\)

\(48=2^{4}\times 3^{1}\)

\(\Rightarrow HCF (72,48) =2^{3}\times 3^{1}\) (taken the lowest power of prime factors)

\(\Rightarrow HCF (72,48) = 24\)