Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 192, 198 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 192 and 198 is **6**.

GCF(192,198) = 6

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

- Greatest Common Factor of 192 and 198 by prime factorization method
- Greatest Common Factor of 192 and 198 by matching factors method

**Prime Factorization of 192**

2 | 192 |

2 | 96 |

2 | 48 |

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 192 are 2,3. Prime factorization of **192** in exponential form is:

192 = 2^{6}×3^{1}

**Prime Factorization of 198**

2 | 198 |

3 | 99 |

3 | 33 |

11 | 11 |

1 |

Prime factors of 198 are 2,3,11. Prime factorization of **198** in exponential form is:

198 = 2^{1}×3^{2}×11^{1}

∴ So by taking common prime factors GCF of 192 and 198 is 6

**Factors of 192**

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

**Factors of 198**

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

**Greatest Common Factor**

We found the factors and prime factorization of 192 and 198. The biggest common factor number is the **GCF** number.

So the **greatest common factor 192 and 198** is **6**.

Also check out the Least Common Multiple of 192 and 198

(i) The GCF of 192 and 198 is associative

GCF of 192 and 198 = GCF of 198 and 192

1. What is the GCF of 192 and 198?

Answer: GCF of 192 and 198 is 6.

2. What are the Factors of 192?

Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.

3. What are the Factors of 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.

4. How to Find the GCF of 192 and 198?

Answer:

Greatest Common Factor of 192 and 198 = 6

Step 1: Find the prime factorization of 192

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 192 and 198 is 6