The new image factorization algorithm, the k-factor method, is applied to the problem of shadow removal. Unlike the other technique, PCNN factorization, the k-factor method will completely remove shadows. It has several features that allow automatic or manual control that tailor it to specific applications. Unlike histogram equalization which globally remaps rather than remove shadows, the k-factor method eliminates regional shadows without remapping other regions. The algorithm is presented, numerous examples of its performance shown, and future plans discussed.