  In this work we will analyse the complexity factor, proposed by L. Herrera,
for spherically symmetric static matter distributions satisfying a polytropic
equation through the gravitational decoupling method. Specifically, we will use
the 2-step GD, which is a particular case of the extended geometric deformation
(EGD), to obtain analytic polytropic solutions of Einstein's equations. In
order to give an example, we construct a model satisfying a polytropic equation
of state using Tolman IV as a seed solution.
