**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 320, 321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 320 and 321 is **1**.

GCF(320,321) = 1

*Greatest common factor* or Greatest common divisor (GCD) can be calculated in following way;

**Prime Factorization of 320**

2 | 320 |

2 | 160 |

2 | 80 |

2 | 40 |

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Prime factors of 320 are 2,5. Prime factorization of **320** in exponential form is:

320 = 2^{6}×5^{1}

**Prime Factorization of 321**

3 | 321 |

107 | 107 |

1 |

Prime factors of 321 are 3,107. Prime factorization of **321** in exponential form is:

321 = 3^{1}×107^{1}

∴ So by taking common prime factors GCF of 320 and 321 is 1

**Factors of 320**

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

**Factors of 321**

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

**Greatest Common Factor**

We found the factors and prime factorization of 320 and 321. The biggest common factor number is the **GCF** number.

So the **greatest common factor 320 and 321** is **1**.

Also check out the Least Common Multiple of 320 and 321

(i) The GCF of 320 and 321 is associative

GCF of 320 and 321 = GCF of 321 and 320

1. What is the GCF of 320 and 321?

Answer: GCF of 320 and 321 is 1.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

3. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

4. How to Find the GCF of 320 and 321?

Answer:

Greatest Common Factor of 320 and 321 = 1

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 321

321 = 3 x 107

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 320 and 321 is 1