A high-mobility two-dimensional electron gas system with a Hall-bar geometry was integrated in a micromechanical cantilever to measure the piezoresistance, i.e., the resistance change induced by the deflection of the cantilever in the quantum Hall regime. The piezoresistance was strongly enhanced at the transition between the localized and extended states, and we obtained a piezoresistive gauge factor as large as 25,000. This "giant magnetopiezoresistance" is caused by the strong strain effect on the electronic state transition and the cantilever will lead to highly sensitive force and displacement sensors at low temperature. . This is because the strain modulates the energy band structure of semiconductors via the deformation potential or the piezoelectric field, leading to a large change in the carrier concentration and mobility. PR has long been employed in practical sensors, and it is extremely important in recent micro/nanoelectromechanical systems (MEMS/NEMS), where the mechanical signal is transduced into an electrical signal using it [2][3][4]. Until now, MEMS/NEMS operation has been based on PR as a bulk property, and the transducer efficiency has been simply determined by the geometrical shape of the mechanical structure and the piezoelectric coefficient of the material used.We have proposed the use of quantum low-dimensional structures in order to further enhance the PR of semiconductors [5][6][7][8]: electron interference in quasi one-dimensional electron systems [5,6], energy quantization in two-dimensional electron gas (2DEG) systems under magnetic field [7], and the proximity effect in semiconductor/superconductor junction [8]. The common mechanism leading to increased PR lies in the highly non-linear response of device conductance with respect to the external parameters, such as the magnetic field and bias current. When we choose these parameters in such a way that the conductance is most sensitive to their change, the conductance is also sensitive to the induced strain, leading to large PR.One of the most interesting semiconductor low-dimensional systems providing such large nonlinear response is a quantum Hall system. As a function of magnetic field, the longitudinal resistance drastically changes at the magnetic filed, providing the transition between localized and extended electronic states. We, therefore, expected that the induced strain would also cause an abrupt transition between these two electronic states, leading to an extremely large PR. Here we report measurements of the PR of a GaAs/AlGaAs high-mobility 2DEG system and confirm a drastic increase in PR at the transition between these two states as expected.