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Calculate the Greatest Common Factor or GCF of 40, 60 and 200

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The instructions to find the GCF of 40, 60 and 200 are the next:

1. Decompose all numbers into prime factors

402
202
102
55
1
602
302
153
55
1
2002
1002
502
255
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 40=23 . 5
Prime factors of 60=22 . 3 . 5
Prime factors of 200=23 . 52

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5

Common prime factors with the lowest exponent: 22, 51

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 51 = 20


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