  We analytically and numerically investigate the properties of s-wave
holographic superconductors by considering the effects of scalar and gauge
fields on the background geometry in five dimensional Einstein-Gauss-Bonnet
gravity. We assume the gauge field to be in the form of the Power-Maxwell
nonlinear electrodynamics. We employ the Sturm-Liouville eigenvalue problem for
analytical calculation of the critical temperature and the shooting method for
the numerical investigation. Our numerical and analytical results indicate that
higher curvature corrections affect condensation of the holographic
superconductors with backreaction. We observe that the backreaction can
decrease the critical temperature of the holographic superconductors, while the
Power-Maxwell electrodynamics and Gauss-Bonnet coefficient term may increase
the critical temperature of the holographic superconductors. We find that the
critical exponent has the mean-field value $\beta=1/2$, regardless of the
values of Gauss-Bonnet coefficient, backreaction and Power-Maxwell parameters.
