# Calculate the Greatest Common Factor or GCF of 1130

Sponsors

The instructions to find the GCF of 1130 are the next:

## 1. Decompose all numbers into prime factors

1130 | 2 |

565 | 5 |

113 | 113 |

1 |

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

Prime factors of 1130 | = | 2 . 5 . 113 |

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

Common prime factors: 2 , 5 , 113

Common prime factors with the lowest exponent: 2^{1}, 5^{1}, 113^{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^{1}. 5^{1}. 113^{1} = 1130

Also calculates the: