# Calculate the Greatest Common Factor or GCF of 724

Sponsors

The instructions to find the GCF of 724 are the next:

## 1. Decompose all numbers into prime factors

724 | 2 |

362 | 2 |

181 | 181 |

1 |

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

Prime factors of 724 | = | 2^{2} . 181 |

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

Common prime factors: 2 , 181

Common prime factors with the lowest exponent: 2^{2}, 181^{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}. 181^{1} = 724

Also calculates the: