# Calculate the Greatest Common Factor or GCF of 450

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The instructions to find the GCF of 450 are the next:

## 1. Decompose all numbers into prime factors

450 | 2 |

225 | 3 |

75 | 3 |

25 | 5 |

5 | 5 |

1 |

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

Prime factors of 450 | = | 2 . 3^{2} . 5^{2} |

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

Common prime factors: 2 , 3 , 5

Common prime factors with the lowest exponent: 2^{1}, 3^{2}, 5^{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** = 2^{1}. 3^{2}. 5^{2} = 450

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