Question

Write the H.C.F of the smallest composite number and the smallest prime number.

Answer 1

Calculate the H.C.F of the smallest composite number and the smallest prime number.

The numbers that has more than two factors are called a composite number

The numbers that has only two factors that is one and the number itself are called prime numbers.

Now,

Smallest composite number $=4$

Smallest prime number$=2$

Prime factorization of $4$ and $2$ is,

$\begin{array}{rcl}4& =& 2\times 2\\ 2& =& 1\times 2\end{array}$

Determine $\mathrm{HCF}\left(4,2\right)$.

$$\begin{gathered} \mathrm{HCF}\left(4,2\right)=1\times 2 \\ =2 \end{gathered}$$

Thus, H.C.F of the smallest composite number and the smallest prime number is $2$.