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We calculate prompt photon production in high-energy nuclear collisions. We focus on the broadening of the intrinsic transverse momenta of the partons in the initial state from nuclear e ects, and their influence on the prompt photon pt distribution. Comparing to WA98 data from Pb+Pb collisions at s = 17.4A GeV we find evidence for the presence of nuclear broadening at high pt in this hard process. Below pt < 2.7 GeV the photon distribution is due to small momentum transfer processes. At RHIC energy, s = 200A GeV, the e ect of intrinsic transverse momentum on the spectrum of prompt photons is less prominent. The region pt = 3 4 GeV would be the most promising for studying the nuclear broadening effects at that energy. Below pt = 2 3 GeV the contribution from large momentum transfers flattens out, and we expect that region to be dominated by soft contributions.