  We fit spectra of galactic transient source GX~339-4 during its 2013 outburst
using Two Component Advective Flow (TCAF) solution. For the first time, we are
fitting combined NuSTAR and Swift observation with TCAF. We use TCAF to fit
0.8-9.0~keV Swift and 4-79 keV NuSTAR spectra along with the LAOR model. To fit
the data we use disk accretion rate, halo accretion rate, size of the Compton
cloud and the density jump of advective flows at this cloud boundary as model
parameters. From TCAF fitted flow parameters, and energy spectral index we
conclude that the source was in the hard state throughout this particular
outburst. The present analysis also gives some idea about the broadening of Fe
$K_{\alpha}$ with the accretion rate. Since TCAF does not include Fe line yet,
we make use of the `LAOR model' as a phenomenological model and find an
estimate of the Kerr parameter to be $\sim 0.99$ for this candidate.
