  We compute the thermal conductivity and electrical resistivity of solid hcp
Fe to pressures and temperatures of Earth's core. We find significant
contributions from electron-electron scattering, usually neglected at high
temperatures in transition metals. Our calculations show a quasi-linear
relation between electrical resistivity and temperature for hcp Fe at extreme
high pressures. We obtain thermal and electrical conductivities that are
consistent with experiments considering reasonable error. The predicted thermal
conductivity is reduced from previous estimates that neglect electron-electron
scattering. Our estimated thermal conductivity for the outer core is 77$\pm$10
W/m/K, and is consistent with a geodynamo driven by thermal convection.
