# Calculate the Greatest Common Factor or GCF of 841

Sponsors

The instructions to find the GCF of 841 are the next:

## 1. Decompose all numbers into prime factors

841 | 29 |

29 | 29 |

1 |

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

Prime factors of 841 | = | 29^{2} |

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

Common prime factors: 29

Common prime factors with the lowest exponent: 29^{2}

## 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** = 29^{2} = 841

Also calculates the: