Find the Common Factors of 24 and 30

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Detailed Solution

The common factors of 24 and 30 are 1, 2, 3, and 6 because these numbers divide both 24 and 30 exactly without leaving any remainder.

To find the common factors of 24 and 30, we first list all the factors of both numbers separately. Factors are the numbers that divide a given number exactly, leaving no remainder.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Each of these numbers divides 24 completely without leaving any remainder. Similarly, the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Each of these numbers divides 30 exactly.

After listing the factors, we identify the numbers that appear in both lists. These numbers are called common factors because they divide both 24 and 30 completely. By comparing both lists, we find that the common factors are 1, 2, 3, and 6.

Therefore, the common factors of 24 and 30 are 1, 2, 3, and 6. These are the only numbers that can divide both 24 and 30 exactly without any remainder.