A method of operating an integrated hydrogen production and processing system is provided. The method includes operating an electrolyzer to produce hydrogen from water and utilizing heat generated from the electrolyzer to increase a temperature of an electrolyte in a first mode of operation. The method also includes heating the electrolyte in a second mode of operation by extracting heat from a hydrogen compressor to increase or maintain the temperature of the electrolyte during periods when electrolysis is not performed in the electrolyzer or during startup of the electrolyzer.