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.
When you want to find the prime factorization of a composite number.
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question!
Use a factor tree. 690 345,2 115,3,2 23,5,3,2
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
22 11,2 There are no elevens in 60, so the GCF has to be 2.
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.
8 4,2 2,2,2 18 9,2 3,3,2 The GCF is 2.
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.
you have to use a factor tree
The Greatest Common Factor of 40 and 100 is 20. 5x2x2. Use a factor tree and learn math!!!!!!!!!!!!!!
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.
Find out about factors and factor trees.
Use a factor tree. 55 5,11
Use the GCF. The LCF is always 1.
56 28,2 14,2,2 7,2,2,2 96 48,2 24,2,2 12,2,2,2 6,2,2,2,2 3,2,2,2,2,2 2 x 2 x 2 = 8, the GCF
You cannot use the GCF for this purpose.
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.