# Calculate the Greatest Common Factor or GCF of 1065

Sponsors

The instructions to find the GCF of 1065 are the next:

## 1. Decompose all numbers into prime factors

1065 | 3 |

355 | 5 |

71 | 71 |

1 |

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

Prime factors of 1065 | = | 3 . 5 . 71 |

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

Common prime factors: 3 , 5 , 71

Common prime factors with the lowest exponent: 3^{1}, 5^{1}, 71^{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** = 3^{1}. 5^{1}. 71^{1} = 1065

Also calculates the: