Question

Find the H. C. F. of $30$and $42$ by prime factorization method.

Answer 1

Step 1: Prime factorisation of the given numbers.

Step 2: Find H. C. F. of the given numbers.

$$\begin{gathered} 30=2\times 3\times 5 \\ 42=2\times 3\times 7 \end{gathered}$$

H. C. F. of $30$and $42$ $=2\times 3=6$

Therefore, H. C. F. of $30$and $42$ is $6$.