To find the Greatest Common Factor (GCF) of 27, 63, and 81, we first need to find the prime factors of each number. The prime factorization of 27 is 3 x 3 x 3, the prime factorization of 63 is 3 x 3 x 7, and the prime factorization of 81 is 3 x 3 x 3 x 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 3 x 3 x 3 = 27. Therefore, the GCF of 27, 63, and 81 is 27.
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