The magnetoresistance of dilute AuCr alloys (2.3–322 at.ppm) has been measured in a wide region of temperature (5-3K) and of magnetic field (up to 60 kG). The “modified Kohler's rule” was used to extract the spin dependent magnetoresistance (ϱ M) from measured total magnetoresistance. The results has shown that, except for the most dilute specimen, ϱ M includes explicitly a positive component in addition to the ordinary negative magnetoresistance proportional to log ( H/T). We have attributed this positive ϱ M to the effect of the interactions between the Cr impurities by taking consideration of the generalized phase shift expression of magnetoresistance proposed by Soultie.