Example: 30 and 42
1, 2, 3, 5, 6, 10, 15, 30
1, 2, 3, 6, 7, 14, 21, 42
These are the factors of 30 and 42. The numbers that appear on both lists are common factors. Of those, the largest one (indicated in bold) is the GCF.
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example of common factor:
9:1,3,9
3:1,3
example of greatest common factor:
20:1,2,4,5,10,20
40:1,2,4,5,8,10,20,40
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
Example: 30 and 42
Factor them.
2 x 3 x 6 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Get the greatest common factor first. For example, you might use Euclid's Algorithm - the first step is that the greatest common factor of 5030 and 100 is the same as the greatest common factor of 100 and 30 (where 30 is the remainder of the division of 5030 / 100). Once you get the greatest common factor, the common factors of the two numbers are simply all the factors of this greatest common factor.
The Greatest Common Factor (GCF) is: 8
The greatest common factor is 2
The greatest common factor of 30 and 39 is 3.
The greatest common factor (GCF) is: 5.