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Calculate the Greatest Common Factor or GCF of 60, 140 and 260

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The instructions to find the GCF of 60, 140 and 260 are the next:

1. Decompose all numbers into prime factors

602
302
153
55
1
1402
702
355
77
1
2602
1302
655
1313
1

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

Prime factors of 60=22 . 3 . 5
Prime factors of 140=22 . 5 . 7
Prime factors of 260=22 . 5 . 13

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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