# GCF for 231 and 273

"Greatest Common Factor" Calculator

## What is the Greatest common Divisor of 231 and 273?

**Answer:**GCF of

**231 and 273**is

**21**

(Twenty-one)

## Finding GCF for 231 and 273 using all factors (divisors) listing

The first method to find GCF for numbers 231 and 273 is to list all factors for both numbers and pick the highest common one:

All factors of 231: 1, 3, 7, 11, **21**, 33, 77, 231

All factors of 273: 1, 3, 7, 13, **21**, 39, 91, 273

So the Greatest Common Factor for 231 and 273 is **21**

## Finding GCF for 231 and 273 by Prime Factorization

The second method to find GCF for numbers 231 and 273 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 231: 3, 7, 11

All Prime Factors of 273: 3, 7, 13

As we can see there are Prime Factors common to both numbers: **3, 7**

Now we need to multiply them to find GCF: **3 × 7 = 21**

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## GCF Table

Number 1 | Number 2 | GCF |
---|---|---|

216 | 273 | 3 |

217 | 273 | 7 |

218 | 273 | 1 |

219 | 273 | 3 |

220 | 273 | 1 |

221 | 273 | 13 |

222 | 273 | 3 |

223 | 273 | 1 |

224 | 273 | 7 |

225 | 273 | 3 |

226 | 273 | 1 |

227 | 273 | 1 |

228 | 273 | 3 |

229 | 273 | 1 |

230 | 273 | 1 |

231 | 273 | 21 |

232 | 273 | 1 |

233 | 273 | 1 |

234 | 273 | 39 |

235 | 273 | 1 |

236 | 273 | 1 |

237 | 273 | 3 |

238 | 273 | 7 |

239 | 273 | 1 |

240 | 273 | 3 |

241 | 273 | 1 |

242 | 273 | 1 |

243 | 273 | 3 |

244 | 273 | 1 |

245 | 273 | 7 |

## About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 231 and 273? (The answer is:

**21**). Select the first number (e.g. '231') and the second number (e.g. '273'). After that hit the 'Calculate' button.Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder