Factor trees are ways of finding the prime factorization of given numbers.
Example: 30 and 42
30
15,2
5,3,2
42
21,2
7,3,2
Select the common factors. 2 x 3 = 6, the GCF.
142,7282,142,2,72 x 7 = 14, the GCF
You need at least two factor trees to find a GCF.
You Do a Factor Tree which is very simple. But the answer is 12
42 21,2 7,3,2 You need at least two numbers to find a GCF.
6432,216,2,28,2,2,24,2,2,2,22,2,2,2,2,211457,219,3,2The GCF is 2.
2010,25,2,24515,35,3,3The GCF is 5.
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.
All I did was make a factor tree. The GCF (Greatest Common Factor) is 5. :)
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.
21 3,7
8 4,2 2,2,2 18 9,2 3,3,2 The GCF is 2.
The factor tree is just a way to display the prime factorization. Once you have that, you can find the GCF. 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.