# Calculate the Greatest Common Factor or GCF of 1275

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The instructions to find the GCF of 1275 are the next:

## 1. Decompose all numbers into prime factors

1275 | 3 |

425 | 5 |

85 | 5 |

17 | 17 |

1 |

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

Prime factors of 1275 | = | 3 . 5^{2} . 17 |

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

Common prime factors: 3 , 5 , 17

Common prime factors with the lowest exponent: 3^{1}, 5^{2}, 17^{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}. 5^{2}. 17^{1} = 1275

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