The greatest common factor (GCF) of 100, 120, and 144 is the largest number that divides evenly into all three numbers. To find the GCF, we first need to find the prime factors of each number: 100 = 2^2 * 5^2, 120 = 2^3 * 3 * 5, and 144 = 2^4 * 3^2. The GCF is the product of the common prime factors raised to the smallest power they appear in all three numbers, which is 2^2 = 4. Therefore, the GCF of 100, 120, and 144 is 4.
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