We calculate and resum a perturbative expansion of nuclear enhanced power corrections to the structure functions measured in deeply inelastic scattering of leptons on a nuclear target. Our results for the Bjorken x-, Q 2 -and A-dependence of nuclear shadowing in F A 2 (x, Q 2 ) and the nuclear modifications to F A L (x, Q 2 ), obtained in terms of the QCD factorization approach, are consistent with the existing data. We predict the dynamical shadowing from final state interactions in ν +A reactions for sea and valence quarks in the structure functions F A 2 (x, Q 2 ) and xF A 3 (x, Q 2 ), respectively. In p + A collisions we calculate the centrality and rapidity dependent nuclear suppression of single and double inclusive hadron production at moderate transverse momenta.