# Calculate the Greatest Common Factor or GCF of 1292

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The instructions to find the GCF of 1292 are the next:

## 1. Decompose all numbers into prime factors

1292 | 2 |

646 | 2 |

323 | 17 |

19 | 19 |

1 |

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

Prime factors of 1292 | = | 2^{2} . 17 . 19 |

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

Common prime factors: 2 , 17 , 19

Common prime factors with the lowest exponent: 2^{2}, 17^{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** = 2^{2}. 17^{1}. 19^{1} = 1292

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