As part of an investigation on what effect galaxy-galaxy interaction has on the global photometric properties of the involved galaxies, we present here new photometric data in the Cousins R' system for a sample of 35 interacting systems. Isophotes, equivalent profiles, and total magnitudes of all sample galaxies (73) are determined. Our estimates and the comparison with the published results show that the accuracy of our photometry is about 0.2-0.3 mag. A later paper will present the interpretation of the data.