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Calculate the Greatest Common Factor or GCF of 520 and 650

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The instructions to find the GCF of 520 and 650 are the next:

1. Decompose all numbers into prime factors

5202
2602
1302
655
1313
1
6502
3255
655
1313
1

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

Prime factors of 520=23 . 5 . 13
Prime factors of 650=2 . 52 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5 , 13

Common prime factors with the lowest exponent: 21, 51, 131

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 = 21. 51. 131 = 130


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