Obesity is a global health crisis that is influenced by both genetic and environmental factors. Rodent model organisms can be used to understand the biological and genetic basis of obesity and related morphological traits. A major advantage of model organisms is that they can be studied under uniform environmental conditions, thus reducing the complex role of environment and gene by environment interactions. Furthermore, fat pads and other tissues can be dissected and weighed, so that their role in determining body weight can be precisely defined. Highly recombinant populations allow for genetic fine-mapping of complex traits, greatly reducing the number of plausible candidate genes. We performed the largest rat GWAS ever undertaken, using 3,173 male and female adult N/NIH heterogeneous stock (HS) rats, which were created by mixing 8 inbred strains. We identified 31 independent loci for body weight, body length, body mass index, fat pad weight (retroperitoneal, epididymal, and parametrial), and fasting glucose. We observed strong evidence of pleotropic effects across multiple phenotypes. Three loci contained only a single gene (Epha5, Nrg1 and Klhl14), whereas others were larger and contained many genes. We replicated a locus containing Prlhr, and a second locus containing Adcy3, which we had previously identified in a smaller HS rat study. Finally, by subsampling our dataset, we showed an exponential growth of significant loci as sample size increased towards 3,173. Our results demonstrate the potential for rodent studies to add to our understanding of the molecular genetic factors that contribute to obesity-relevant traits and emphasize the importance of sample size.