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Calculate the Greatest Common Factor or GCF of 1305 and 1365

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The instructions to find the GCF of 1305 and 1365 are the next:

1. Decompose all numbers into prime factors

13053
4353
1455
2929
1
13653
4555
917
1313
1

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

Prime factors of 1305=32 . 5 . 29
Prime factors of 1365=3 . 5 . 7 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5

Common prime factors with the lowest exponent: 31, 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 = 31. 51 = 15


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