MP Board · Class 10 · Mathematics · Real NumbersFind the HCF of 96 and 404 by using the prime factorization method.

To find the HCF of 96 and 404 using prime factorization, we first write the prime factors of both numbers. The prime factorization of 96 is $2^5 \times 3$, and the prime factorization of 404 is $2^2 \times 101$. The HCF is determined by taking the product of the smallest powers of common prime factors, which is $2^2 = 4$. Thus, the HCF of 96 and 404 is equal to 4.