We have analyzed 13 galaxies taken from the ACS Virgo Cluster Survey to study the tidal stripping of globular clusters in early type galaxies. Our results suggest the presence of a gradient in the background counts as a function of the distance to the center of the Virgo Cluster. The gradient is still present beyond 1 Mpc of the center. If this effect is taken into account to estimate the specific frequency (S_N) of globular clusters in the cluster galaxies, our results indicate that the mean S_N increases with the galactocentric distance. However, if the blue and red globular clusters populations are analyzed separately, this effect is only present for the blue population, which is typically the most extended and therefore most affected by tidal effects. The aforementioned results are interpreted as evidence of tidal stripping of globular clusters due to both the cluster potential well and galaxy-galaxy interactions.