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The greatest common factor of 24, 45, and 48 is 3

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

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Q: What is the greatest common factor of 24 45 and 48?
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What is the greatest common factor of 24 and 45?

The GCF of 24 and 45 is 3. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 45 are 1, 3, 5, 9, 15, and 45. The common factors are 1 and 3. Therefore, the greatest common factor is 3. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 45 are 3, 3, and 5. The prime factors in common are a single 3, so the greatest common factor is 3.