Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1804, 1809 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1804 and 1809 is **1**.

GCF(1804,1809) = 1

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

- Greatest Common Factor of 1804 and 1809 by prime factorization method
- Greatest Common Factor of 1804 and 1809 by matching factors method

**Prime Factorization of 1804**

2 | 1804 |

2 | 902 |

11 | 451 |

41 | 41 |

1 |

Prime factors of 1804 are 2,11,41. Prime factorization of **1804** in exponential form is:

1804 = 2^{2}×11^{1}×41^{1}

**Prime Factorization of 1809**

3 | 1809 |

3 | 603 |

3 | 201 |

67 | 67 |

1 |

Prime factors of 1809 are 3,67. Prime factorization of **1809** in exponential form is:

1809 = 3^{3}×67^{1}

∴ So by taking common prime factors GCF of 1804 and 1809 is 1

**Factors of 1804**

List of positive integer factors of 1804 that divides 1804 without a remainder.

1,2,4,11,22,41,44,82,164,451,902,1804

**Factors of 1809**

List of positive integer factors of 1809 that divides 1809 without a remainder.

1,3,9,27,67,201,603,1809

**Greatest Common Factor**

We found the factors and prime factorization of 1804 and 1809. The biggest common factor number is the **GCF** number.

So the **greatest common factor 1804 and 1809** is **1**.

Also check out the Least Common Multiple of 1804 and 1809

(i) The GCF of 1804 and 1809 is associative

GCF of 1804 and 1809 = GCF of 1809 and 1804

1. What is the GCF of 1804 and 1809?

Answer: GCF of 1804 and 1809 is 1.

2. What are the Factors of 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

3. What are the Factors of 1809?

Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.

4. How to Find the GCF of 1804 and 1809?

Answer:

Greatest Common Factor of 1804 and 1809 = 1

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

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 1804 and 1809 is 1