# Calculate the Greatest Common Factor or GCF of 1147

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The instructions to find the GCF of 1147 are the next:

## 1. Decompose all numbers into prime factors

1147 | 31 |

37 | 37 |

1 |

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

Prime factors of 1147 | = | 31 . 37 |

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

Common prime factors: 31 , 37

Common prime factors with the lowest exponent: 31^{1}, 37^{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** = 31^{1}. 37^{1} = 1147

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