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To find the greatest common factor (GCF) of 64, 80, and 96, we must first find the prime factorization of each number.
64 = 2^6, 80 = 2^4 * 5, and 96 = 2^5 * 3.
The GCF is the product of the common prime factors raised to the lowest power they appear in any of the numbers, which in this case is 2^4 = 16.
Therefore, the GCF of 64, 80, and 96 is 16.
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