Factor or Principal Component analysis for survey

Hi all,

I am trying to conduct a Factor Analysis (or potentially Principal Component Analysis) using a data-set created off a scoreboard. The data-set is composed by list of countries, each of which is scored on 33 elements. The individual scores, say for country A on element 5, carry values of 0 for non-compliance, 1 for compliance and 0.5 for partial compliance. My goal is to determine which set of components account for most of the variance in the countries overall score. I've had trouble choosing which type of factor analysis I should use and whether I should preform a PCA and if this is the appropriate method to pursue. I apologize if my description of the issue is unclear or basic, I am fairly new to STATA and would greatly appreciate any help, also happy to provide more information.