# Calculate the Greatest Common Factor or GCF of 38, 350, 70, 19, 11 and 54

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The instructions to find the GCF of 38, 350, 70, 19, 11 and 54 are the next:

## 1. Decompose all numbers into prime factors

38 | 2 |

19 | 19 |

1 |

350 | 2 |

175 | 5 |

35 | 5 |

7 | 7 |

1 |

70 | 2 |

35 | 5 |

7 | 7 |

1 |

19 | 19 |

1 |

11 | 11 |

1 |

54 | 2 |

27 | 3 |

9 | 3 |

3 | 3 |

1 |

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

Prime factors of 38 | = | 2 . 19 |

Prime factors of 350 | = | 2 . 5^{2} . 7 |

Prime factors of 70 | = | 2 . 5 . 7 |

Prime factors of 19 | = | 19 |

Prime factors of 11 | = | 11 |

Prime factors of 54 | = | 2 . 3^{3} |

## 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

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