  We generalize our previous model for $\gamma^* p$ scattering to $\gamma
\gamma$ scattering. In the latter case the number of components naturally
grows. When using the model parameters from our previous $\gamma^* p$ analysis
the model cross section for $\gamma \gamma$ scattering is larger than the
corresponding LEP2 experimental data by more than a factor of two. However,
performing a new simultaneous fit to $\gamma^* p$ and $\gamma \gamma$ total
cross section we can find an optimal set of parameters to describe both
processes. We propose new measures of factorization breaking for $\gamma^*
\gamma^*$ collisions and present results for our new model.
