Nonwoven fabrics of fibers comprising one or more primary polypropylenes having a molecular weight distribution of less than 3.5 and a melt flow rate within the range from 5 to 500 dg/min, the fibers having an average diameter of less than 20 μm, or a denier (g/9000 m) of less than 2.0, thus forming propylene-based fabrics. The primary polypropylene is preferably a reactor grade polymer made using a single-site catalyst. In certain embodiments, the propylene-based fabrics disclosed herein have a MD Tensile Strength (WSP 110.4 (05)) of greater than 20 N/5 cm when calendered at a temperature within the range from 110 to 15O° C. Also in certain embodiments, the fabrics have a CD Tensile Strength (WSP 110.4 (05)) of greater than 10 N/5 cm when calendered at a temperature within the range from 110 to 15O° C. The fabrics are preferably meltspun, and in a particular embodiment are spunbond fabrics.