How do I distinguish the difference? The colour actually... Plus you will most probably find one is marked Insert and the other Extract in small raised writing.
Not all plastic Insert/Extract tools have a white end either, I have sitting in my toolbox some Red/Orange tools.
I have also come across people who think that a red/white plastic and metal tool is an equivalent to a red/white tool, only more durable....
The key point to remember is to always refer to the SWPM or ESPM (or equivalent manual, depending on manufacturer) and select an insert or extract tool appropriate to the task.
Tooling for connector/contact replacement (including crimping tools) is a potential minefield for the unwary/untrained and not always as straight forward as some people think.