First of all, prestige should not be a factor in which schools you decide to apply to. What you do later in life will be a function of how well you do your job, not which school you attended. Pick the school that sounds right for you based on what you enjoy.
Anyway, back to the CC v. SEAS debate, as usual....
- CC is Columbia's liberal arts college. If you're primarily interested in liberal arts(english, history, arts etc.), choose CC.
- SEAS is Columbia's engineering school. If you're primarily interested in engineering(CompSci, Applied Math, Biomedical Engineering, etc.) choose SEAS. In choosing SEAS, you will also get a decent chunk of liberal arts education(you have to take either Lit Hum or CC and either Art Hum or Music Hum plus University Writing) amounting to 4 semesters of intense liberal arts courses. I like to think of SEAS as engineering with a liberal arts twist.
Both SEAS and CC are highly ranked, so prestige is NOT an issue. I'd look at what courses you enjoyed in high school and use this to base your decision on which school to apply to. If you enjoyed your english, history, and arts classes more than anything, apply to CC. If you enjoyed your math and science classes more than anything apply to SEAS.
this is kind of funny, using a ranking for a grad program to support the prestige of an undergraduate major ... while comparing a specific major with an entire undergraduate school....and overall not making a point at all... wow..
Echoing posts by lynda and columbia2002, your question doesn't make sense in two ways. First you're comparing a specific major with a whole school in terms of prestige. Second a major can't have prestige; it can have recognition, but not prestige.
So I'd improve my English writing skills before I write those essays, or I doubt I'll get into CC or SEAS (whichever one you end up choosing).