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Calculate the Greatest Common Factor or GCF of 2 and 525

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The instructions to find the GCF of 2 and 525 are the next:

1. Decompose all numbers into prime factors

22
1
5253
1755
355
77
1

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

Prime factors of 2=2
Prime factors of 525=3 . 52 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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