# Calculate the Greatest Common Factor or GCF of 1127

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The instructions to find the GCF of 1127 are the next:

## 1. Decompose all numbers into prime factors

1127 | 7 |

161 | 7 |

23 | 23 |

1 |

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

Prime factors of 1127 | = | 7^{2} . 23 |

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

Common prime factors: 7 , 23

Common prime factors with the lowest exponent: 7^{2}, 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** = 7^{2}. 23^{1} = 1127

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