# Calculate the Greatest Common Factor or GCF of 48, 20, 60 and 12

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The instructions to find the GCF of 48, 20, 60 and 12 are the next:

## 1. Decompose all numbers into prime factors

48 | 2 |

24 | 2 |

12 | 2 |

6 | 2 |

3 | 3 |

1 |

20 | 2 |

10 | 2 |

5 | 5 |

1 |

60 | 2 |

30 | 2 |

15 | 3 |

5 | 5 |

1 |

12 | 2 |

6 | 2 |

3 | 3 |

1 |

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

Prime factors of 48 | = | 2^{4} . 3 |

Prime factors of 20 | = | 2^{2} . 5 |

Prime factors of 60 | = | 2^{2} . 3 . 5 |

Prime factors of 12 | = | 2^{2} . 3 |

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

Common prime factors: 2

Common prime factors with the lowest exponent: 2^{2}

## 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} = 4

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