# Calculate the Greatest Common Factor or GCF of 1272

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The instructions to find the GCF of 1272 are the next:

## 1. Decompose all numbers into prime factors

1272 | 2 |

636 | 2 |

318 | 2 |

159 | 3 |

53 | 53 |

1 |

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

Prime factors of 1272 | = | 2^{3} . 3 . 53 |

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

Common prime factors: 2 , 3 , 53

Common prime factors with the lowest exponent: 2^{3}, 3^{1}, 53^{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^{3}. 3^{1}. 53^{1} = 1272

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