yes colgate,most decent tootpastes will do it though!
rub it in with paper and turn in circular motion,
then sparay off with pure water
and buff up with microfibre,you might get away with using cif to remove scratches too!
to get rid of light scratches use colgate
rub in hard in circles and then buff up!
if failing than use some car polish!
The bristles are very unlikely to cause scratches.
It needs to be either grit or a metal instrument to cause scratches.
Chances are they were there already, most windows (especially on newer houses I notice) seem to have light scratches on them.
I'll give that a try...............
By Colgate, you mean toothpaste right?