# Calculate the Greatest Common Factor or GCF of 3 and 24

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The instructions to find the GCF of 3 and 24 are the next:

## 1. Decompose all numbers into prime factors

3 | 3 |

1 |

24 | 2 |

12 | 2 |

6 | 2 |

3 | 3 |

1 |

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

Prime factors of 3 | = | 3 |

Prime factors of 24 | = | 2^{3} . 3 |

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

Common prime factors: 3

Common prime factors with the lowest exponent: 3^{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** = 3^{1} = 3

Also calculates the: