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To find the greatest common factor (GCF) of 24, 32, and 48, we need to determine the largest number that divides evenly into all three numbers. First, we find the factors of each number: 24 (1, 2, 3, 4, 6, 8, 12, 24), 32 (1, 2, 4, 8, 16, 32), and 48 (1, 2, 3, 4, 6, 8, 12, 16, 24, 48). The GCF of 24, 32, and 48 is 8, as it is the largest number that appears in the factor lists of all three numbers.
GCF (Greatest Common Factor)
24 = 3 * 23 = 3 * 2 * 2 * 2
48 = (24)*2 = 3 * 2 * 2 * 2 * 2
32 = 25 = 2 * 2 * 2 * 2 * 2
The greatest common factor is ( 2 * 2 * 2) = 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Factors of 32: 1, 2, 4, 8, 16, 32.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
GCF (24, 32, 48) = 8
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