# Calculate the Greatest Common Factor or GCF of 1144

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The instructions to find the GCF of 1144 are the next:

## 1. Decompose all numbers into prime factors

1144 | 2 |

572 | 2 |

286 | 2 |

143 | 11 |

13 | 13 |

1 |

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

Prime factors of 1144 | = | 2^{3} . 11 . 13 |

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

Common prime factors: 2 , 11 , 13

Common prime factors with the lowest exponent: 2^{3}, 11^{1}, 13^{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** = 2^{3}. 11^{1}. 13^{1} = 1144

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