To divide \(5\) and \(10\) by the common factor of \(5\), you can rewrite these numbers as follows:
\[ \frac{5}{5} \text{ and } \frac{10}{5} \]
Calculating these:
\[ \frac{5}{5} = 1 \] \[ \frac{10}{5} = 2 \]
So, when you rewrite \(5\) and \(10\) by their common factor \(5\), you have:
\[ 1 \text{ and } 2 \]
If this is part of an equation, it would depend on the original equation for further context. For instance, if you had the equation \(5 = 10\) and divided both sides by 5, you would rewrite it as:
\[ 1 = 2 \]
This doesn't hold true mathematically, but if you're simply separating the numbers as above, then they become \(1\) and \(2\) respectively. If you provide an actual equation you want to manipulate, I could assist with that specifically!