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To find the greatest common factor (GCF) of 12 and 30, we need to determine the largest number that divides both 12 and 30 evenly. One method is to list the factors of each number and find the greatest one they have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 30 areRead more
To find the greatest common factor (GCF) of 12 and 30, we need to determine the largest number that divides both 12 and 30 evenly.
One method is to list the factors of each number and find the greatest one they have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The common factors are 1, 2, 3, and 6. Out of these, the greatest common factor is 6, so the GCF of 12 and 30 is 6.
Another way to find the GCF is to use prime factorization. We can write:
12 = 2 * 2 * 3 30 = 2 * 3 * 5
To find the GCF, we take the product of all the common prime factors, each raised to the smallest power it appears in both numbers. The common prime factors are 2 and 3, so we multiply 2 * 3 = 6, which gives the same result as before.