As @Adrian Keister mentions in the comments, there are many posts on this site that cover the differences between principal component analysis (PCA) and exploratory factor analysis (EFA), e.g., What are the differences between Factor Analysis and Principal Component Analysis? & Is there any good reason to use PCA instead of efa. See these posts for more detail, though, because you have specific factor structures in mind that you want to test (e.g., a single-factor model, a two-factor model where Factor 1 = faces & Factor 2 = objects, a two-factor model where Factor 1 = memory & Factor 2 = perception) I would suggest using EFA over PCA if you decide to explore the factor structure. Though because you already have specific factor structures in mind, you could skip the EFA/PCA step and compare competing models using confirmatory factor analysis (CFA). For more information on why one may use CFA instead of EFA, see my answer to a previous question here. Finally, for an accessible discussion of factor analysis and its relationship to similar methods, such as PCA, I recommend reading Thompson, 2004.
Thompson, B. (2004). Exploratory and confirmatory factor analysis. American Psychological Association.