To find the greatest number that will divide 11296 and leave a remainder of 11, we need to use the concept of divisors. The number that satisfies this condition is called the Greatest Common Divisor (GCD). By using the Euclidean algorithm, we can find that the GCD of 11296 and 11 is 1. Therefore, the greatest number that will divide 11296 and leave a remainder of 11 is 1.
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