# Calculate the Greatest Common Factor or GCF of 1146

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The instructions to find the GCF of 1146 are the next:

## 1. Decompose all numbers into prime factors

1146 | 2 |

573 | 3 |

191 | 191 |

1 |

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

Prime factors of 1146 | = | 2 . 3 . 191 |

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

Common prime factors: 2 , 3 , 191

Common prime factors with the lowest exponent: 2^{1}, 3^{1}, 191^{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^{1}. 3^{1}. 191^{1} = 1146

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