# Calculate the Greatest Common Factor or GCF of 1148

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The instructions to find the GCF of 1148 are the next:

## 1. Decompose all numbers into prime factors

1148 | 2 |

574 | 2 |

287 | 7 |

41 | 41 |

1 |

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

Prime factors of 1148 | = | 2^{2} . 7 . 41 |

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

Common prime factors: 2 , 7 , 41

Common prime factors with the lowest exponent: 2^{2}, 7^{1}, 41^{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^{2}. 7^{1}. 41^{1} = 1148

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