Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 441, 446 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 441 and 446 is **1**.

GCF(441,446) = 1

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

- Greatest Common Factor of 441 and 446 by prime factorization method
- Greatest Common Factor of 441 and 446 by matching factors method

**Prime Factorization of 441**

3 | 441 |

3 | 147 |

7 | 49 |

7 | 7 |

1 |

Prime factors of 441 are 3,7. Prime factorization of **441** in exponential form is:

441 = 3^{2}×7^{2}

**Prime Factorization of 446**

2 | 446 |

223 | 223 |

1 |

Prime factors of 446 are 2,223. Prime factorization of **446** in exponential form is:

446 = 2^{1}×223^{1}

∴ So by taking common prime factors GCF of 441 and 446 is 1

**Factors of 441**

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

**Factors of 446**

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

**Greatest Common Factor**

We found the factors and prime factorization of 441 and 446. The biggest common factor number is the **GCF** number.

So the **greatest common factor 441 and 446** is **1**.

Also check out the Least Common Multiple of 441 and 446

(i) The GCF of 441 and 446 is associative

GCF of 441 and 446 = GCF of 446 and 441

1. What is the GCF of 441 and 446?

Answer: GCF of 441 and 446 is 1.

2. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

3. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

4. How to Find the GCF of 441 and 446?

Answer:

Greatest Common Factor of 441 and 446 = 1

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 446

446 = 2 x 223

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 441 and 446 is 1