# Calculate the Greatest Common Factor or GCF of 1276

Sponsors

The instructions to find the GCF of 1276 are the next:

## 1. Decompose all numbers into prime factors

1276 | 2 |

638 | 2 |

319 | 11 |

29 | 29 |

1 |

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

Prime factors of 1276 | = | 2^{2} . 11 . 29 |

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

Common prime factors: 2 , 11 , 29

Common prime factors with the lowest exponent: 2^{2}, 11^{1}, 29^{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^{2}. 11^{1}. 29^{1} = 1276

Also calculates the: