# Calculate the Greatest Common Factor or GCF of 728

Sponsors

The instructions to find the GCF of 728 are the next:

## 1. Decompose all numbers into prime factors

728 | 2 |

364 | 2 |

182 | 2 |

91 | 7 |

13 | 13 |

1 |

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

Prime factors of 728 | = | 2^{3} . 7 . 13 |

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

Common prime factors: 2 , 7 , 13

Common prime factors with the lowest exponent: 2^{3}, 7^{1}, 13^{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}. 7^{1}. 13^{1} = 728

Also calculates the: