# Calculate the Greatest Common Factor or GCF of 1349

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The instructions to find the GCF of 1349 are the next:

## 1. Decompose all numbers into prime factors

1349 | 19 |

71 | 71 |

1 |

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

Prime factors of 1349 | = | 19 . 71 |

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

Common prime factors: 19 , 71

Common prime factors with the lowest exponent: 19^{1}, 71^{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** = 19^{1}. 71^{1} = 1349

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