# Calculate the Greatest Common Factor or GCF of 1200

Sponsors

The instructions to find the GCF of 1200 are the next:

## 1. Decompose all numbers into prime factors

1200 | 2 |

600 | 2 |

300 | 2 |

150 | 2 |

75 | 3 |

25 | 5 |

5 | 5 |

1 |

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

Prime factors of 1200 | = | 2^{4} . 3 . 5^{2} |

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

Common prime factors: 2 , 3 , 5

Common prime factors with the lowest exponent: 2^{4}, 3^{1}, 5^{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^{4}. 3^{1}. 5^{2} = 1200

Also calculates the: