# Calculate the Greatest Common Factor or GCF of 1045

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The instructions to find the GCF of 1045 are the next:

## 1. Decompose all numbers into prime factors

1045 | 5 |

209 | 11 |

19 | 19 |

1 |

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

Prime factors of 1045 | = | 5 . 11 . 19 |

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

Common prime factors: 5 , 11 , 19

Common prime factors with the lowest exponent: 5^{1}, 11^{1}, 19^{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** = 5^{1}. 11^{1}. 19^{1} = 1045

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