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Charged hadron elliptic anisotropies ((Formula presented)) are presented over a wide transverse momentum ((Formula presented)) range for proton-lead ((Formula presented)) and lead-lead (PbPb) collisions at nucleon-nucleon center-of-mass energies of 8.16 and 5.02 TeV, respectively. The data were recorded by the CMS experiment and correspond to integrated luminosities of 186 and (Formula presented) for the (Formula presented) and PbPb systems, respectively. A four-particle cumulant analysis is performed using subevents separated in pseudorapidity to effectively suppress noncollective effects. At high (Formula presented) ((Formula presented)), significant positive (Formula presented) values that are similar between (Formula presented) and PbPb collisions at comparable charged particle multiplicities are observed. This observation suggests a common origin for the multiparticle collectivity for high-(Formula presented) particles in the two systems.