# Calculate the Greatest Common Factor or GCF of 1216

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The instructions to find the GCF of 1216 are the next:

## 1. Decompose all numbers into prime factors

1216 | 2 |

608 | 2 |

304 | 2 |

152 | 2 |

76 | 2 |

38 | 2 |

19 | 19 |

1 |

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

Prime factors of 1216 | = | 2^{6} . 19 |

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

Common prime factors: 2 , 19

Common prime factors with the lowest exponent: 2^{6}, 19^{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^{6}. 19^{1} = 1216

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