Question

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

(ii) $42,63$

Answer 1

First, do the prime factorization of the given numbers,

$$\begin{gathered} 42=2\times 3\times 7 \\ 63=3\times 3\times 7 \end{gathered}$$

We can see the common factors $=3\times 7$

So the H.C.F. of $42,63$ is $21$