# Calculate the Greatest Common Factor or GCF of 1173

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The instructions to find the GCF of 1173 are the next:

## 1. Decompose all numbers into prime factors

1173 | 3 |

391 | 17 |

23 | 23 |

1 |

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

Prime factors of 1173 | = | 3 . 17 . 23 |

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

Common prime factors: 3 , 17 , 23

Common prime factors with the lowest exponent: 3^{1}, 17^{1}, 23^{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^{1}. 17^{1}. 23^{1} = 1173

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