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No one can say definitively one way or the other. Historians cannot "find" Moses, the alleged founder of Judaism, so much like Hinduism it's difficult to date since it's generally seen as a religion that slowly emerged on its own.
Zoroaster, who has been deemed a historical figure, cannot be pinpointed to a given century, let alone a millennium. Some say he was as early as 2000 BCE some say as late as 100 CE. Until Zoroaster's era can be decided and/or the historicity of Moses be found, the question is rather unanswerable.
If you're looking for a historically legitimate, impartial answer, I'd suggest posting this in "History" rather than R&S. Folks here are going to tell you whatever makes their own religious faith look good.
ETA: It seems a sort of consensus has been made for Zoroaster's date at roughly 1000 BCE. Since most historians date Judaism to at least 1200 BCE that would make Judaism likely a couple centuries older. The tentative dates are likely too close to say one way or the other.
Historians generally date Judaism at the time of the alleged Exodus (~ 1200 BCE - 1400 BCE): http://www.religionfacts.com/judaism/history.htm
Historians generally date Zoroaster to 1000 BCE: http://en.wikipedia.org/wiki/Zoroaster
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Which is Older, Zoroastrianism or Judaism?
