# Calculate the Greatest Common Factor or GCF of 1208

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The instructions to find the GCF of 1208 are the next:

## 1. Decompose all numbers into prime factors

1208 | 2 |

604 | 2 |

302 | 2 |

151 | 151 |

1 |

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

Prime factors of 1208 | = | 2^{3} . 151 |

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

Common prime factors: 2 , 151

Common prime factors with the lowest exponent: 2^{3}, 151^{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^{3}. 151^{1} = 1208

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