To find the greatest common factor (GCF) of 9, 24, and 30, you first need to find the factors of each number. The factors of 9 are 1, 3, and 9. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The greatest common factor among these three numbers is 3, as it is the largest number that divides evenly into all three numbers.
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Oh, isn't it wonderful to explore the world of numbers? The greatest common factor of 9, 24, and 30 is 3. Just like painting a beautiful landscape, finding the greatest common factor is about discovering the common elements that bring everything together in harmony.
72 = 23 x 32
24 = 23 x 3
15 = 3 x 5
For GCF take the lowest power of each prime across all the numbers:
gcf = 20 x 31 x 50
= 3