In these lessons, we will learn how to find the GCF of two or more numbers
In this method, we list out the factors of each number and then find the largest among the common factors.
Find the GCF of 48 and 60
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common factors of 48 and 60 are 1,2,3,4,6,12.
The greatest factor is 12. So the GCF of 48 and 60 is 12.
In this method, we use the factor tree to find the prime factors of each number. We then find the common prime factors and multiply them to get the greatest common factor.How to find the Greatest Common Factor between two numbers by using factor trees?
When the numbers are large, using the lists to find the GCF can be slow and tedious. A faster method would be to use repetitive division to find the highest common factors.
Example :Find the GCF of 48 and 60
How to find the GCF of 24 and 36 using repetitive division?
The GCF of 48 and 60 is obtained by multiplying the numbers in the left column:
4 × 3 = 12
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