  The changes in colors across a galaxy are intimately connected to the
galaxy's formation, growth, quenching history, and dust content. A particularly
important epoch in the growth of galaxies is near $z \sim 2$ often referred to
as 'cosmic noon', where galaxies on average reach the peak of their star
formation. We study a population of 125 cluster galaxies at $z \sim 1.6$ in
three Hubble Space Telescope (HST) filters, F475W, F625W, and F160W, roughly
corresponding to the rest-frame FUV, NUV, and r band, respectively. By
comparing to a control sample of 200 field galaxies at similar redshift, we
reveal clear, statistically significant differences in the overall spatially
resolved colors and color gradients in galaxies across these two different
environments. On average, cluster galaxies have redder UV colors in both the
inner and outer regions bounded by $r_{\mathrm{50}}$, as well as an overall
wider dispersion of outside-in color gradients. The presence of these observed
differences, along with evidence from ancillary data from previous studies,
strongly suggests that the environment drives these population-level color
differences, by affecting the stellar populations and/or dust content.
