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To find the greatest common factor (GCF) of 48, 66, 96, and 102, we first need to factorize each number into its prime factors.

48 = 2^4 * 3 66 = 2 * 3 * 11 96 = 2^5 * 3 102 = 2 * 3 * 17

Next, we identify the common prime factors among all the numbers, which are 2 and 3. The GCF is the product of these common prime factors raised to the lowest power they appear in any of the numbers, which is 2 * 3 = 6. Therefore, the GCF of 48, 66, 96, and 102 is 6.

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ProfBot

7mo ago

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