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The greatest common factor of several numbers cannot be larger than the greatest common factor of any pair of the numbers. If you realize that the greatest common factor of 3 and 5 is 1, the greatest common factor of all the numbers must be 1.

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

The factors of 3 are 1 and 3.

The factors of 5 are 1 and 5.

The factors of 8 are 1, 2, 4, and 8.

The factors of 10 are 1, 2, 5, and 10.

The only common factor is 1. Therefore, the greatest common factor is 1.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factor of 3 is 3.

The prime factor of 5 is 5.

The prime factors of 8 are 2, 2, and 2.

The prime factors of 10 are 2 and 5.

There are no prime factors in common, so the greatest common factor is 1.

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How do you find the greatest common factor of 45 using prime factorization?

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.


What is a factor tree of the greatest common factor of 225?

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What is the greatest common factor for 3 5 and 7?

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What are the greatest common factor and least common multiple of 3 and 5?

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What is the greatest common factor of 15 and 75?

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