Methods and systems of power generation that integrate SCO2 Brayton and Rankin steam power cycles with fossil fuel combustion, One such method involves combusting a fuel material with an oxidizer material in a combustor to produce heat and a combustion exhaust. At least a portion of the combustion exhaust and a first portion of heat produced by the combustion processing are fed to a SCO2 Brayton power cycle to produce power and a second exhaust. At least a portion of the second exhaust and a second portion of heat produced by the combustion processing are feed to a steam Rankine power cycle to produce additional power and a third exhaust.