Question

Which pair of numbers has a Greatest common factor of 6?6 and 1212 and 243 and 18

Answer 1

Firstly, solve 6 and 12.

`\begin{gathered} 6=2*3 \\ 12=2*2*3 \\ \\ \text{the greatest common factor is 2}*3=6 \end{gathered}`

Now, 12 and 24

`\begin{gathered} 12=2*2*3 \\ 24=2*2*2*3 \\ \text{the greatest common factor is 2}*2*3=12 \end{gathered}`

Now, 3 and 18

`\begin{gathered} 3=3 \\ 18=2*3*3 \\ \text{The greatest common factor is 3.} \end{gathered}`

So, 12 and 24 have the greatest common factor.