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Factor trees are ways of notating the prime factorizations of composite numbers. Once you have the prime factorization, you can find the GCF.

Example: 30 and 42

30

15,2

5,3,2

42

21,2

7,3,2

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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Here is another example. Since the greatest common factor of two or more numbers is the product of all of the prime factors that they have in common, first we break the numbers down to their prime factors. Consider, for example, 5940 and 5544:

5940 = 22 x 33 x 5 x 11

5544 = 23 x 32 x 7 x 11

All of the prime factors that the numbers have in common are

22 x 32 x 11

which equals 396, so 396 is the greatest common factor of 5940 and 5544.

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10y ago
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11y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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12y ago

All you do is a factor tree and use the prime numbers that nopth numbers have and multiply..... 94 x 76.......

Kimi03

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11y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 3 = 6, the GCF

This answer is:
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11y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

This answer is:
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Wiki User

11y ago

It doesn't matter what you use; you need more than one term to find a GCF.

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12y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

This answer is:
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11y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

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8y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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Q: How do use A factor tree to find a gcf?
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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.


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8 4,2 2,2,2 18 9,2 3,3,2 The GCF is 2.


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A factor tree will show you the prime factorization of 88. Comparing that prime factorization of 88 and another number will you show you the GCF between the two. You need at least two numbers to find a GCF.


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How do you use a factor tree to find the greatest common factor of 87 and 29?

It's not necessary for two reasons. First, 29 is a factor of 87 so it will automatically be the GCF of this problem. Second, since factor trees are designed to find prime numbers and 29 is already prime, it doesn't have a tree. But if you insist... 87 3,29 Here we have a factor tree, more like a factor shrub, that shows that the prime factors of 87 are 3 and 29. Since 29 is a factor of 29, the GCF is 29.


How do you use a factor tree to find the greatest common factor of 78 and 195?

Find out about factors and factor trees.


How do you find prime factor of 55?

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How do you use a factor tree to find the greatest common factor of 56 and 96?

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How do you find GCF and LCM?

To find the GCF and the LCM you have to first at least try to use prime factorization. So use factor trees. Or for the LCM find th least common multiples of the number.