# Calculate the Greatest Common Factor or GCF of 12 and 47

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The instructions to find the GCF of 12 and 47 are the next:

## 1. Decompose all numbers into prime factors

12 | 2 |

6 | 2 |

3 | 3 |

1 |

47 | 47 |

1 |

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

Prime factors of 12 | = | 2^{2} . 3 |

Prime factors of 47 | = | 47 |

## 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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