  Unlike the Wilson line in QED the Wilson line in QCD contains path ordering.
In this paper we get rid of the path ordering in the light-like Wilson line in
QCD by simplifying all the infinite number of non-commuting terms in the SU(3)
pure gauge. We prove that the light-like Wilson line in QCD naturally emerges
when path integral formulation of QCD is used to prove factorization of soft
and collinear divergences at all order in coupling constant in QCD processes at
high energy colliders.
