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Calculate the Greatest Common Factor or GCF of 81 and 625

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The instructions to find the GCF of 81 and 625 are the next:

1. Decompose all numbers into prime factors

813
273
93
33
1
6255
1255
255
55
1

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

Prime factors of 81=34
Prime factors of 625=54

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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