# Calculate the Greatest Common Factor or GCF of 1280

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The instructions to find the GCF of 1280 are the next:

## 1. Decompose all numbers into prime factors

1280 | 2 |

640 | 2 |

320 | 2 |

160 | 2 |

80 | 2 |

40 | 2 |

20 | 2 |

10 | 2 |

5 | 5 |

1 |

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

Prime factors of 1280 | = | 2^{8} . 5 |

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

Common prime factors: 2 , 5

Common prime factors with the lowest exponent: 2^{8}, 5^{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^{8}. 5^{1} = 1280

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