Hospital 2 major, but different, systems of well-factored personality-measurement scales in the questionnaire medium are currently available. 1 of these systems, developed by Guilford and his co-workers, is an orthogonal series now principally embodied in the Guilford-Zimmerman (G-Z) scale, whereas the other system, developed by Cattell and his co-workers, is an oblique series typified by the 16 PF test. The present study aimed at carrying out an adequate, though not exhaustive, oblique factor analysis jointly upon the 16 PF and G-Z scales to determine (a) if a good, unique simple structure resolution can be attained in correlation matrices obtained jointly from scales originally fitted to orthogonal and oblique factorings and (b) if the natural source traits thus revealed are those conceived in the G-Z or in the 16 PF. Attempts were also made to determine if the 2 series of scales occupy the same or a different personality space and if any meaning could be given to any extra dimensions found. The results of the analysis yielded natural source traits which, in general, were those proposed by the oblique scales. The controversy between proponents of the orthogonal systems and proponents of the oblique systems was discussed. The limitations of the present study and proposals for further, more definitive research were considered.