A control apparatus for a vehicle includes: a characteristic storage portion configured to store therein torque-characteristic information representing an output torque characteristic as a characteristic of an output torque of an engine of the vehicle, which has appeared in a certain control operation, such that the stored torque-characteristic information is divided into a plurality of groups corresponding to respective refueling points that provide the fuel; and a factor determination portion configured, when the output torque characteristic represented by the torque-characteristic information belonging to one of the plurality of groups and the output torque characteristic represented by the torque-characteristic information belonging to another one of the plurality of groups are different from each other and a characteristic difference therebetween is not smaller than a threshold value, to determine that the characteristic difference is caused by a difference in a property of the fuel.