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Answer:

The greatest common factor of 15 and 33 is 3.

The common factors of 15 and 33 are 1 and 3.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 15 are 1, 3, 5, and 15.

The factors of 33 are 1, 3, 11, and 33.

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 15 are 3 and 5.

The prime factors of 33 are 3 and 11.

The prime factors in common are 3, so the greatest common factor is 3.

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Q: What is the greatest common factor of 15 and 33?
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