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I do not know. I never tried to Remake anything until my Remake skill was at level 10. From my own experience, the largest thing that contributes to the Factor you can get is manipulating the Characteristic Trends in your favor so that you will only apply the Characteristic of the Factor you want.
A Masterwork item has the Masterwork Factor applied to it. For each Extra Item used that has Masterwork attached, a +10% bonus will be applied to apply a Rare (R) Factor.
Applying Factors to equipment was introduced in SO3 (in the form of Item Refining) and the system has appeared in each SO since, in one form or another. The original SO2 (for PS1 and PSP) did not have Remake or Factors, but was added in this version as an additional way to customize characters. I would also argue that it is a necessary system to take advantage of for succeeding in the highest difficulty content.
Thank you for your encouraging words! I am glad that this guide could be a decent starting point to this incredibly in-depth IC system.
Also, thanks for pioneering some of the research into this. More complicated than I'd want to mess around with otherwise.