A core processor comprises a frame that supports a housing. The housing carries a rotary pulverizer inside a semi-cylindrical drum and a rotary pick up brush in a pick up head below the drum. The drum is open at the rear to form a rear discharge opening. The pick up head includes a full width rear roller behind the brush to support the housing for rolling movement over the ground in a work mode of the processor. In the work mode, the brush picks up aeration cores from the ground, delivers them to the rotary pulverizer which comminutes or pulverizes the aeration cores, and the particle debris so created exits through the rear discharge opening beneath a hood or shroud. A powered roller is located at a junction between the orbits of the brush and the pulverizer to help keep the junction free of a build up of core material. In a transport mode of the core processor, a pair of transport wheels are lowered into engagement with the ground until the pick up head is lifted out of engagement with the ground.