  We present here an extraction of the jet transport coefficient, $\hat{q}$,
using RHIC and LHC single-inclusive high-$p_T$ data for different centralities.
We fit a $K$-factor that determines the deviation of this coefficient from an
ideal estimate, $K \equiv \hat{q}/(2\epsilon^{3/4})$, where $\epsilon$ is given
by hydrodynamic simulations. As obtained already in previous studies, this
$K$-factor is found to be larger at RHIC than at the LHC. However it is,
unexpectedly, basically no-dependent on the centrality of the collision. Taken
at face value this result, the $K$-factor would not depend on local properties
of the QGP as temperature, but on global collision variables such as the center
of mass energy.
