# Calculate the Greatest Common Factor or GCF of 90, 83, 3 and 10

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The instructions to find the GCF of 90, 83, 3 and 10 are the next:

## 1. Decompose all numbers into prime factors

90 | 2 |

45 | 3 |

15 | 3 |

5 | 5 |

1 |

83 | 83 |

1 |

3 | 3 |

1 |

10 | 2 |

5 | 5 |

1 |

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

Prime factors of 90 | = | 2 . 3^{2} . 5 |

Prime factors of 83 | = | 83 |

Prime factors of 3 | = | 3 |

Prime factors of 10 | = | 2 . 5 |

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

Common prime factors: None

Common prime factors with the lowest exponent: None

## 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.

Since there are not common prime factors the **GCF** is 1

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