# Calculate the Greatest Common Factor or GCF of 1314

Sponsors

The instructions to find the GCF of 1314 are the next:

## 1. Decompose all numbers into prime factors

1314 | 2 |

657 | 3 |

219 | 3 |

73 | 73 |

1 |

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

Prime factors of 1314 | = | 2 . 3^{2} . 73 |

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

Common prime factors: 2 , 3 , 73

Common prime factors with the lowest exponent: 2^{1}, 3^{2}, 73^{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}. 3^{2}. 73^{1} = 1314

Also calculates the: