# Calculate the Greatest Common Factor or GCF of 50719

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The instructions to find the GCF of 50719 are the next:

## 1. Decompose all numbers into prime factors

50719 | 67 |

757 | 757 |

1 |

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

Prime factors of 50719 | = | 67 . 757 |

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

Common prime factors: 67 , 757

Common prime factors with the lowest exponent: 67^{1}, 757^{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** = 67^{1}. 757^{1} = 50719

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