It is difficult to definitively answer whether Chick-fil-A is more famous than McDonald's as there are various metrics that can be used to measure fame. However, looking at a few different indicators provides some insight into the relative popularity of these two fast food chains.
For example, an analysis of their respective market shares in the U.S. reveals that McDonald’s has a significantly larger share of the market than Chick-fil-A (45% vs 15%). Additionally, when comparing customer reviews on platforms such as Google and Yelp, it appears that McDonald’s has higher overall ratings with customers rating them 4 out of 5 stars while Chick-fil-A only averages 3 stars or lower depending on the platform used for comparison.
In terms of recognition and brand awareness, this could suggest that McDonald's may have greater overall fame due to its much larger presence compared to its competitor. It should also be noted however, that despite having a smaller market share than Mcdonald’s; Chick-fil-A continues to grow in popularity each year especially among younger generations who often cite their customer service as one of their primary reasons for enjoying the chain more so than other competitors like Mcdonald's. Therefore it seems likely that both companies continue to compete for popularity amongst consumers but ultimately it would depend on individual preferences and experiences with each brand which may vary from person to person.