# Calculate the Greatest Common Factor or GCF of 52 and 1598

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The instructions to find the GCF of 52 and 1598 are the next:

## 1. Decompose all numbers into prime factors

52 | 2 |

26 | 2 |

13 | 13 |

1 |

1598 | 2 |

799 | 17 |

47 | 47 |

1 |

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

Prime factors of 52 | = | 2^{2} . 13 |

Prime factors of 1598 | = | 2 . 17 . 47 |

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

Common prime factors: 2

Common prime factors with the lowest exponent: 2^{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^{1} = 2

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