Many effective interactions have been developed to provide a better understanding of the nuclear properties by starting with the realistic nucleon-nucleon (NN) interaction and using quantum-mechanical many-body theory. In this study, the calculations of inelastic longitudinal electron scattering form factors for C2 and C4 transitions have been examined in 58,60 Ni isotopes. The F5PVH effective interaction for the fp-shell is used with the nucleon-nucleon realistic interaction Michigan three-range Yukawa and Modified surface delta interaction as a two-body interaction. Two shell model codes, CP and OXBASH for windows, have been utilized in order to obtain the results. The core polarization effects are considered as the first-order perturbation theory with the effective charge of both proton and neutron. Based on the obtained results, the effective charge along with the core effects have significantly improved the calculation in term of the agreement with the experimental data. Also, the 60 Ni nuclei tend to have a better agreement when compared to 58 Ni nuclei.