# GCF Calculator

**Greatest Common Factor ****Calculator (GCF calculator)**

What is **GCF**? **GCF** stands for **greatest common factor** in mathematics, and it is the largest number that is divisible by two or more other numbers. It is also known as **HCF (highest common factor)**, **GCD (greatest common divisor),** and **GCD (greatest common denominator)**. The GCF calculator precisely calculates the highest or greatest common of two or more given numbers in no time.

## GCF Calculator

## Relevant Calculators

- Proportion Calculator
- GCF Calculator
- LCM Calculator
- GCF and LCM Calculator
- Weighted Average Calculator
- Quadratic Formula Calculator
- Fraction to Percent Calculator
- Percent to Fraction Calculator
- Permutation Calculator
- Combination Calculator
- Ratio to Percentage Calculator
- Percentage to Ratio Calculator

**How to find the GCF?**

There are several methods that can be used to find the **GCF **of two or more numbers such as the factorization method and the prime factorization method. However, Mycalcu's **GCF calculator** uses the factorization method to find out the **highest common factors**.

**How to use the GCF Calculator?**

- Enter the 1st number in the 1st box
- Enter the 2nd value in the 2nd box
- Click on calculate to get the result

**How to calculate Greatest Common Factors (GCF)?**

Follow the given below simple steps to quickly and accurately calculate the GCF of two numbers.

- List down all the factors of all the numbers
- Note down all the common factors
- The greatest number that is in the common factors is your answer

Let's look into an example for better clarification of the concept, let's find the **GCF** of (18, 27)

Factors of the first variable which is 18 are **1**, 2, **3**, 6, **9**, 18.

Factors of the second variable which is 27 are **1**, **3**, **9**, 27.

The common factors of 18 and 27 are 1, 3, and 9.

Therefore, the **GCF** (18,27) is 9.

value1 | value2 | GCF |
---|---|---|

3 | 100 | 1 |

6 | 100 | 2 |

9 | 100 | 1 |

12 | 100 | 4 |

15 | 100 | 5 |

18 | 100 | 2 |

21 | 100 | 1 |

24 | 100 | 4 |

27 | 100 | 1 |

30 | 100 | 10 |

33 | 100 | 1 |

36 | 100 | 4 |

39 | 100 | 1 |

42 | 100 | 2 |

45 | 100 | 5 |

48 | 100 | 4 |

51 | 100 | 1 |

54 | 100 | 2 |

57 | 100 | 1 |

60 | 100 | 20 |

63 | 100 | 1 |

66 | 100 | 2 |

69 | 100 | 1 |

72 | 100 | 4 |

75 | 100 | 25 |

78 | 100 | 2 |

81 | 100 | 1 |

84 | 100 | 4 |

87 | 100 | 1 |

90 | 100 | 10 |

93 | 100 | 1 |

96 | 100 | 4 |

99 | 100 | 1 |

102 | 100 | 2 |

105 | 100 | 5 |

108 | 100 | 4 |

111 | 100 | 1 |

114 | 100 | 2 |

117 | 100 | 1 |

120 | 100 | 20 |

123 | 100 | 1 |

126 | 100 | 2 |

129 | 100 | 1 |

132 | 100 | 4 |

135 | 100 | 5 |

138 | 100 | 2 |

141 | 100 | 1 |

144 | 100 | 4 |

147 | 100 | 1 |

150 | 100 | 50 |

153 | 100 | 1 |

156 | 100 | 4 |

159 | 100 | 1 |

162 | 100 | 2 |

165 | 100 | 5 |

168 | 100 | 4 |

171 | 100 | 1 |

174 | 100 | 2 |

177 | 100 | 1 |

180 | 100 | 20 |

183 | 100 | 1 |

186 | 100 | 2 |

189 | 100 | 1 |

192 | 100 | 4 |

195 | 100 | 5 |

198 | 100 | 2 |

201 | 100 | 1 |

204 | 100 | 4 |

207 | 100 | 1 |

210 | 100 | 10 |

213 | 100 | 1 |

216 | 100 | 4 |

219 | 100 | 1 |

222 | 100 | 2 |

225 | 100 | 25 |

228 | 100 | 4 |

231 | 100 | 1 |

234 | 100 | 2 |

237 | 100 | 1 |

240 | 100 | 20 |

243 | 100 | 1 |

246 | 100 | 2 |

249 | 100 | 1 |

252 | 100 | 4 |

255 | 100 | 5 |

258 | 100 | 2 |

261 | 100 | 1 |

264 | 100 | 4 |

267 | 100 | 1 |

270 | 100 | 10 |

273 | 100 | 1 |

276 | 100 | 4 |

279 | 100 | 1 |

282 | 100 | 2 |

285 | 100 | 5 |

288 | 100 | 4 |

291 | 100 | 1 |

294 | 100 | 2 |

297 | 100 | 1 |

300 | 100 | 100 |

gcf of 1 and 3

gcf of 5 and 10

gcf of 10 and 20

gcf of 50 and 55

gcf of 90 and 65

gcf of 105 and 115

gcf of 120 and 150

gcf of 150 and 210

gcf of 225 and 230

gcf of 450 and 230

gcf of 500 and 330

gcf of 800 and 630

gcf of 990 and 950

gcf of 1530 and 950

gcf of 2550 and 1550

gcf of 3005 and 1005

gcf of 7605 and 5040