I found the answer to your question in the JK FAQ section in a sticky at the top of this forum.
Q: What is the biggest size tire I can fit on my stock Jeep JK Wrangler?
A: The largest tire size that the factory recommends is a 255/75R17 (which comes standard on Rubicon models) or a 32x10.50. However, there are many Jeep JK Wrangler owners who are currently running as big as 285/70R17 or 33x10.50's with little to no rubbing issues. PLEASE NOTE: When discussing tire size, DO NOT take into consideration what the "actual size" of the tire is but rather, just what is listed on the sidewall.