What the remainder when $2^{96}$ is divided by 96?

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If GMAT asks you a question of this kind, there has to be some pattern.

2^1

divided by 96 gives 2 as remainder

2^2

divided by 96 gives 4 as remainder

2^3

divided by 96 gives 8 as remainder

2^4

divided by 96 gives 16 as remainder

2^5

divided by 96 gives 32 as remainder

2^6

divided by 96 gives 64 as remainder…

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What this question tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Forgetting that 1 is not prime and that every integer divides 0.