Genetic evidence of common descent with the primates is overwhelming, but perhaps none of this evidence is as compelling as the case of human chromosome 2, a fusion of two chimp chromosomes since renamed chimp chromosomes 2a and 2b in recognition of their common descent.
The seminal paper is Yunis and Prakash, 1982.
The fusion region can be identified from the banding achieved by dyes. From left to right, here are the shared regions for humans, chimps, gorillas, and orangutans for our human chromosome 2.
Analogous regions for the remaining chromosomes is available in Yunus, above. Further research, with better tools, has served to confirm and provide further details of the fusion region in chromosome 2.
Telomeres are the end caps of chromosomes, as opposed to the centromeres at their centers. We know they represent a chromosome fusion because of the framing structure:
(telomere)-(active centromere)-(telomere)-(telomere)-(inactive centromere)-(telomere)
While die-hards may wish to argue for common design for the analogous DNA sequences on either side of the fusion region, no similar argument suggests itself for the inclusion of telomeres and pre-telomeres away from the chromosome ends, or the presence of an inactive centromere.