Solid-state nanofoaming experiments are conducted on two PMMA grades of markedly different molecular weight using CO2 as the blowing agent. The dependence of porosity of the nanofoams upon foaming time and foaming temperature is measured. Also, the microstructure of the PMMA nanofoams is characterized in terms of cell size and cell nucleation density. A one dimensional numerical model is developed to predict the growth of spherical, gas-filled voids during the solid-state foaming process. Diffusion of CO2 within the PMMA matrix is sufficiently rapid for the concentration of CO2 to remain almost uniform spatially. The foaming model makes use of experimentally calibrated constitutive laws for the PMMA grades, and the effect of dissolved CO2 is accounted for by a shift in the glass transition temperature of the PMMA. The observed limit of achievable porosity is interpreted in terms of cell wall tearing;it is deduced that the failure criterion is sensitive to cell wall thickness.