# Calculate the Greatest Common Factor or GCF of 1152

Sponsors

The instructions to find the GCF of 1152 are the next:

## 1. Decompose all numbers into prime factors

1152 | 2 |

576 | 2 |

288 | 2 |

144 | 2 |

72 | 2 |

36 | 2 |

18 | 2 |

9 | 3 |

3 | 3 |

1 |

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

Prime factors of 1152 | = | 2^{7} . 3^{2} |

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

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 2^{7}, 3^{2}

## 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^{7}. 3^{2} = 1152

Also calculates the: