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Factor trees come up with prime factorizations. When you compare one prime factorization with another, you can come up with a GCF.

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Q: Why do factor trees always come up with the GCF?
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Related questions

What is the GCF of 9 and 54 with factor trees?

GCF=6


What is the greatest common factor of a factor tree?

You need at least two factor trees to find a GCF.


What is the gcf of 13 and 65?

its 13 but to get it u can do factor trees that's how i do it


When you factor out the greatest common factor if it is negative and the others are not?

The GCF will always be a positive number.


How do you get the GCF of 28 and 48?

either list factors, do factor trees, or division ladder


How do you Simplify the fraction 150 over 225 with factor trees?

The factor trees find the prime factorizations. The prime factorizations find the GCF. The GCF simplifies the fraction. 150 75,2 25,3,2 5,5,3,2 225 75,3 25,3,3 5,5,3,3 The GCF is 75 150/225 = 2/3


Does the greatest common factor of two numbers have to be the same?

The same as what? The GCF of two numbers will be the same; the GCF of 3 and 9 will always be 3. The GCF of 9 and 12 will also always be 3, but the GCF of 4 and 12 will always be 4.


Are 46 and 115 relatively prime?

No they aren't, you'll have to do factor trees first, and fine the gcf


What is the greatest common factor of 26 and 27?

== == The gcf of two successive natural numbers is always 1. Hence the gcf of 27 & 26 is 1.


Is the GCF of two even numbers always two?

No. For example, the GCF of 8 and 12 is 4. The GCF of 12 and 18 is 6. The Greatest Common Factor of two even numbers will always be even, but it will not always be 2.


What is the GCF of 22 43 and 21?

The greatest common factor of two consecutive numbers is always 1.


How do you simplify fractions using the factor tree?

To simplify fractions, it is necessary to divide the numerator and the denominator by their GCF. You can find their GCF by comparing their prime factorizations. You can find their prime factorizations through the use of factor trees.