Question

Determine the HCF of the following pairs by finding factors:

$4$ and $6$

Answer 1

Step 1: Find the factors of $4$ and $6$.

$$\begin{gathered} 1\times 4=4 \\ 2\times 2=4 \end{gathered}$$

As $4$ is divisible by $1,2$ and $4$.

So the factors of $4$ are: $1,2$ and $4$.

$$\begin{gathered} 1\times 6=6 \\ 2\times 3=6 \end{gathered}$$

As $6$ is divisible by $1,2,3$ and $6$.

So the factors of $6$ are: $1,2,3$and $6$.

Step 2: Find the HCF of $4$ and $6$.

Factors of $4$ are: $\overline{)1},\overline{)2}$and $4$.

Factors of $6$ are: $\overline{)1},\overline{)2},3$and $6$.

Common factors of $4$ and $6$ are $\overline{)1}$ and .$\overline{)2}$

Hence, the and HCF of $4$ and $6$ is $2$.