An integrated circuit that includes common factor mass multiplier (CFMM) circuitry is provided that multiplies a common factor operand by a large number of multiplier operands. The CFMM circuitry may be implemented as a instance specific version (where at least some portion of the hardware has to be redesigned if the multipliers change) or a non-instance specific version (where the CFMM circuitry can work with arbitrary multipliers without having to redesign the hardware). Either version can be formed on a programmable integrated circuit or an application-specific integrated circuit. The CFMM circuitry may include a multiplier circuit that effectively multiplies the common factor by predetermined fixed constants to generate partial products and may further include shifting and add/subtract circuits for processing and combining the partial products to generate corresponding final output products. CFMM circuitry configured in this way can be used to support convolution neural networks or any operation that requires a straight common factor multiply.