# Calculate the Greatest Common Factor or GCF of 1120

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The instructions to find the GCF of 1120 are the next:

## 1. Decompose all numbers into prime factors

1120 | 2 |

560 | 2 |

280 | 2 |

140 | 2 |

70 | 2 |

35 | 5 |

7 | 7 |

1 |

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

Prime factors of 1120 | = | 2^{5} . 5 . 7 |

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

Common prime factors: 2 , 5 , 7

Common prime factors with the lowest exponent: 2^{5}, 5^{1}, 7^{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^{5}. 5^{1}. 7^{1} = 1120

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