In a power transmitting system, a clutch drive shaft driven through bevel gears and by an input shaft is laterally extensive and left and right electromagnetic clutches are disposed between opposite ends of the clutch drive shaft and left and right output shafts, respectively. A clutch body heated during the transmission of a power is disposed at a laterally outer location of the system to provide enhanced heat-radiatability, and an annular solenoid is disposed inside the clutch body. A bearing for supporting each of the opposite ends of the clutch drive shaft is disposed radially inside the solenoid. Thus, the lateral dimension of the power transmitting system is reduced.