Question

HCF of $960$ and $432$ is ____.

Answer 1

Prime factorization:

Use the prime factorization

$$\begin{gathered} 960=2\times 2\times 2\times 2\times 2\times 2\times 3\times 5 \\ 432=2\times 2\times 2\times 2\times 3\times 3\times 3 \end{gathered}$$

Since, the prime factors $2^4$ and $3$ are common, so HCF$=2^4\times 3$

$=48$

Hence, the H.C.F. of the numbers $960$ and $432$ is $48$.