# Calculate the Greatest Common Factor or GCF of 1072

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The instructions to find the GCF of 1072 are the next:

## 1. Decompose all numbers into prime factors

1072 | 2 |

536 | 2 |

268 | 2 |

134 | 2 |

67 | 67 |

1 |

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

Prime factors of 1072 | = | 2^{4} . 67 |

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

Common prime factors: 2 , 67

Common prime factors with the lowest exponent: 2^{4}, 67^{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}. 67^{1} = 1072

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