An electrolytic process for recovering vanadium and molybdenum in the form of a precipitate of their alkali-insoluble lower valent oxides and for recovering gallium in the form of an alloy from an alumina factory aluminate liquor containing vanadium, molybdenum and gallium in solution, said electrolytic process comprising the steps of immersing in the alumina factory aluminate liquor which forms an electrolyte, a low-melting alloy cathode containing at least two elements selected from the group which consists of bismuth, lead, tin and cadmium, capable of alloying with gallium, and an anode comprising an alkali-insoluble metal surrounded by an alkali-proof diaphragm;
- and electrolyzing the alumina factory aluminate liquor forming the electrolyte at a temperature exceeding 70.degree. C. with a current density of 400 to 1200 A/m.sup.2 while mechanically agitating the cathode to form the precipitate and to alloy the gallium into the cathode.