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If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.

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Q: Do factor trees always work for determining the greatest common factors?
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Related questions

How do you find the greatest common factor when there are no common factors?

There is always a common factor. If there are no common prime factors, the GCF is 1.


Do you have to always multiply the two greatest common factors at the end?

no


What is the greatest common factor of 22 and 55?

The factors of 22 are 1, 2, 11, and 22. The factors of 55 are 1, 5, 11, and 55. The common factors are 1 and 11. Therefore, the greatest common factor is 11. The greatest common factor can also be find by determining the prime factors and multiplying the common prime factors together. The prime factors of 22 are 2 and 11. The prime factors of 55 are 5 and 11. The common prime factors are a single 11, so the greatest common factor is 11.


Can there be 2 greatest common factors?

No. The greatest common factor of any two or more numbers is always the single highest common factor.


How is the greatest common factor different from the least common factor?

In the list of common factors, the greatest is the largest, the least is the smallest (which is always 1)


What is the difference between common factors and greatest common factors?

The greatest common factor is the largest of the common factors.


What are the common factors and greatest common factors of 12 and 15?

The common factors are 1 and 3. The greatest of these is 3.


What are the common factors and the greatest common factors for 15 and 40?

The common factors are: 1, 5 The Greatest Common Factor (GCF) is: 5


What are the greatest common factors of 990 and 1540?

What are the greatest common factors of 990 and 1540


Why are greatest common factors always even numbers?

They aren't. The GCF of 18 and 21 is 3.


What are the common factors and greatest common factor of 10 and 20?

1,2,5,10 are the common factors, and the Greatest Common Factor is 10.


What is the greatest common factor of 119 and 391?

Answer: GCF of 119 and 391 is 17. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 119 are 1, 7, 17, and 119. The factors of 391 are 1, 17, 23, and 391 The common factors are 1 and 17. Therefore, the greatest common factor is 17. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 119 are 7 and 17. The prime factors of 391 are 17 and 23. The prime factors in common are a single 17, so the greatest common factor is 17. Once you determine that there are only two prime factors for 119, the easiest way to determine the greatest common factor is to check whether 391 is evenly divided by either 17 or 7, rather than determining the prime factors of 391, too.