# Calculate the Greatest Common Factor or GCF of 208

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The instructions to find the GCF of 208 are the next:

## 1. Decompose all numbers into prime factors

208 | 2 |

104 | 2 |

52 | 2 |

26 | 2 |

13 | 13 |

1 |

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

Prime factors of 208 | = | 2^{4} . 13 |

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

Common prime factors: 2 , 13

Common prime factors with the lowest exponent: 2^{4}, 13^{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^{4}. 13^{1} = 208

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