Question

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

(i) $32,56$

Answer 1

First, do the prime factorization of the given numbers,

$$\begin{gathered} 32=2\times 2\times 2\times 2\times 2 \\ 56=2\times 2\times 2\times 7 \end{gathered}$$

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

So the H.C.F. of $32,56$ is $8$