The giant magnetoimpedance (GMI) and giant stress impedance (GSI) behaviors of amorphous ribbons composed of three commercially available materials (Co66Si15B14Fe4Ni1, Fe81B13Si3.5C2, and Ni40Fe40Si + B19Mo1−2) with differing saturation magnetostriction constants [Formula: see text] and Young's moduli ( E) were studied under longitudinal stress/strain. The linearity of the ribbons' GSI responses and gauge factors was measured to create a figure of merit and compare their stress/strain sensing performance for strains up to ɛ = 10 × 10−3. We observed that the Ni40Fe40Si + B19Mo1−2 ribbon displayed the best performance for low strains ( ɛ < 1 × 10−3), whereas the Co66Si15B14Fe4Ni1 ribbon displayed the best performance for higher strains ( ɛ < 10 × 10−3). We conclude that the suitability of a material for sensing strains in any given strain regime has a complex dependence on both [Formula: see text] and E, the former of which dictates both the absolute magnitude of the impedance variation materials exhibit (i.e., the dynamic range), while both [Formula: see text] and E control how their impedances vary with applied strain.