Question

1. Find the H.C.F. of the following numbers using prime factorization method:

(vi) $168,216$

Answer 1

First, do the prime factorization of the given numbers,

$$\begin{gathered} 168=2\times 2\times 2\times 3\times 7 \\ 216=2\times 2\times 2\times 3\times 3\times 3 \end{gathered}$$

We can see the common factors $=2\times 2\times 2\times 3$

So the H.C.F. of $168,216$ is $24$