# Calculate the Greatest Common Factor or GCF of 1207

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The instructions to find the GCF of 1207 are the next:

## 1. Decompose all numbers into prime factors

1207 | 17 |

71 | 71 |

1 |

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

Prime factors of 1207 | = | 17 . 71 |

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

Common prime factors: 17 , 71

Common prime factors with the lowest exponent: 17^{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** = 17^{1}. 71^{1} = 1207

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