A giant magnetoresistance (GMR) element is provided for use in a magnetic multi-turn sensor in which the free layer, that is, the layer that changes its magnetization direction in response to an external magnetic field so as to provide a resistance change, is thick enough to provide good shape anisotropy without exhibiting an AMR effect. To achieve this, at least a portion of the free layer comprises a plurality of layers of at least two different materials, specifically, a plurality of layers of at least a first material that is ferromagnetic and a plurality of layers of at least a second material that is known not to exhibit an AMR effect and that does not interfere with the GMR effect of the layers of ferromagnetic material.