# Calculate the Greatest Common Factor or GCF of 837

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The instructions to find the GCF of 837 are the next:

## 1. Decompose all numbers into prime factors

837 | 3 |

279 | 3 |

93 | 3 |

31 | 31 |

1 |

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

Prime factors of 837 | = | 3^{3} . 31 |

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

Common prime factors: 3 , 31

Common prime factors with the lowest exponent: 3^{3}, 31^{1}

## 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** = 3^{3}. 31^{1} = 837

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