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# Calculate the Greatest Common Factor or GCF of 273

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The instructions to find the GCF of 273 are the next:

## 1. Decompose all numbers into prime factors

 273 3 91 7 13 13 1

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

 Prime factors of 273 = 3 . 7 . 13

## 3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 7 , 13

Common prime factors with the lowest exponent: 31, 71, 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 = 31. 71. 131 = 273

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