Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 81, 86 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81 and 86 is **1**.

GCF(81,86) = 1

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

- Greatest Common Factor of 81 and 86 by prime factorization method
- Greatest Common Factor of 81 and 86 by matching factors method

**Prime Factorization of 81**

3 | 81 |

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Prime factors of 81 are 3. Prime factorization of **81** in exponential form is:

81 = 3^{4}

**Prime Factorization of 86**

2 | 86 |

43 | 43 |

1 |

Prime factors of 86 are 2.Prime factorization of **86** in exponential form is:

86 = 2^{1}×43^{1}

∴ So by taking common prime factors GCF of 81 and 86 is 1

**Factors of 81**

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

**Factors of 86**

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

**Greatest Common Factor**

We found the factors and prime factorization of 81 and 86. The biggest common factor number is the **GCF** number.

So the **greatest common factor 81 and 86** is **1**.

Also check out the Least Common Multiple of 81 and 86

(i) The GCF of 81 and 86 is associative

GCF of 81 and 86 = GCF of 86 and 81

1. What is the GCF of 81 and 86?

Answer: GCF of 81 and 86 is 1.

2. What are the Factors of 81?

Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.

3. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

4. How to Find the GCF of 81 and 86?

Answer:

Greatest Common Factor of 81 and 86 = 1

Step 1: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 86

86 = 2 x 43

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 81 and 86 is 1