CFA and SEM goodness fit indices the same?

I am using AMOS to fit a structural equation model. Before doing so, however, I would like to perform a confirmatory factor analysis, which I have done this by correlating the latent variables. After confirming goodness of fit (using GFI, CFI, RMSEA, etc.), I run the structural model. However, all of the fit indices for the structural model are exactly the same as for the measurement model.

Should the fit indices for the measurement and structural model be the same? If not, can I change something in the program to give me the correct indices?