# Calculate the Greatest Common Factor or GCF of 1250

Sponsors

The instructions to find the GCF of 1250 are the next:

## 1. Decompose all numbers into prime factors

1250 | 2 |

625 | 5 |

125 | 5 |

25 | 5 |

5 | 5 |

1 |

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

Prime factors of 1250 | = | 2 . 5^{4} |

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

Common prime factors: 2 , 5

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

## 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^{1}. 5^{4} = 1250

Also calculates the: