# Calculate the Greatest Common Factor or GCF of 1089

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The instructions to find the GCF of 1089 are the next:

## 1. Decompose all numbers into prime factors

1089 | 3 |

363 | 3 |

121 | 11 |

11 | 11 |

1 |

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

Prime factors of 1089 | = | 3^{2} . 11^{2} |

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

Common prime factors: 3 , 11

Common prime factors with the lowest exponent: 3^{2}, 11^{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** = 3^{2}. 11^{2} = 1089

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