# Calculate the Greatest Common Factor or GCF of 1236

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The instructions to find the GCF of 1236 are the next:

## 1. Decompose all numbers into prime factors

1236 | 2 |

618 | 2 |

309 | 3 |

103 | 103 |

1 |

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

Prime factors of 1236 | = | 2^{2} . 3 . 103 |

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

Common prime factors: 2 , 3 , 103

Common prime factors with the lowest exponent: 2^{2}, 3^{1}, 103^{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^{2}. 3^{1}. 103^{1} = 1236

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