# Calculate the Greatest Common Factor or GCF of 14, 8, 37, 100 and 58

Sponsors

The instructions to find the GCF of 14, 8, 37, 100 and 58 are the next:

## 1. Decompose all numbers into prime factors

14 | 2 |

7 | 7 |

1 |

8 | 2 |

4 | 2 |

2 | 2 |

1 |

37 | 37 |

1 |

100 | 2 |

50 | 2 |

25 | 5 |

5 | 5 |

1 |

58 | 2 |

29 | 29 |

1 |

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

Prime factors of 14 | = | 2 . 7 |

Prime factors of 8 | = | 2^{3} |

Prime factors of 37 | = | 37 |

Prime factors of 100 | = | 2^{2} . 5^{2} |

Prime factors of 58 | = | 2 . 29 |

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

Common prime factors: None

Common prime factors with the lowest exponent: None

## 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.

Since there are not common prime factors the **GCF** is 1

Also calculates the: