# Calculate the Greatest Common Factor or GCF of 1105

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The instructions to find the GCF of 1105 are the next:

## 1. Decompose all numbers into prime factors

1105 | 5 |

221 | 13 |

17 | 17 |

1 |

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

Prime factors of 1105 | = | 5 . 13 . 17 |

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

Common prime factors: 5 , 13 , 17

Common prime factors with the lowest exponent: 5^{1}, 13^{1}, 17^{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** = 5^{1}. 13^{1}. 17^{1} = 1105

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