Firestone is a leading manufacturer in the tire and auto care industry offering commercial tires, off-road tires, consumer tired, agricultural tires, natural rubber, building products, Firestone polymers, Firestone fibers and textiles, industrial products, and tubes. Save with Firestone coupon codes. Firestone is a subsidiary of Bridgestone Corporation. Firestone Tire and Rubber Company was founded by Harvey Firestone in 1900. Firestone was a pioneer in the mass production of tires at the dawn of the 20th century and the invention of the automobile.