# Calculate the Greatest Common Factor or GCF of 623

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The instructions to find the GCF of 623 are the next:

## 1. Decompose all numbers into prime factors

623 | 7 |

89 | 89 |

1 |

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

Prime factors of 623 | = | 7 . 89 |

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

Common prime factors: 7 , 89

Common prime factors with the lowest exponent: 7^{1}, 89^{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** = 7^{1}. 89^{1} = 623

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