# Calculate the Greatest Common Factor or GCF of 50116

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The instructions to find the GCF of 50116 are the next:

## 1. Decompose all numbers into prime factors

50116 | 2 |

25058 | 2 |

12529 | 11 |

1139 | 17 |

67 | 67 |

1 |

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

Prime factors of 50116 | = | 2^{2} . 11 . 17 . 67 |

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

Common prime factors: 2 , 11 , 17 , 67

Common prime factors with the lowest exponent: 2^{2}, 11^{1}, 17^{1}, 67^{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}. 11^{1}. 17^{1}. 67^{1} = 50116

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