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The half-lives of 123Xe and 125Xe are important to diagnose deuterium-tritium (DT) fuel areal density in inertial confinement fusion (ICF). In this work, those two half-lives have been measured with HPGe γ-ray spectrometers using the reference source method. Data have been recorded over seven half-lives with three independent measurements for 123Xe and two for 125Xe. New values of 123Xe (2.040 ± 0.009) h and 125Xe (17.048 ± 0.032) h have been determined with significant reduction of the uncertainty compared to the currently recommended va