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To find the greatest common factor (GCF) of 30, 42, and 72, we need to determine the largest number that divides evenly into all three numbers. First, we find the prime factors of each number: 30 = 2 x 3 x 5, 42 = 2 x 3 x 7, and 72 = 2 x 2 x 2 x 3 x 3. Next, we identify the common factors: 2 and 3. Finally, we multiply the common factors to find the GCF: GCF(30, 42, 72) = 2 x 3 = 6.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCF (30, 42, 72) = 6
Common factors of 30, 42 and 72 is 2 and 3
= 2×3 =6
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