Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 82, 83 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82 and 83 is **1**.

GCF(82,83) = 1

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

- Greatest Common Factor of 82 and 83 by prime factorization method
- Greatest Common Factor of 82 and 83 by matching factors method

**Prime Factorization of 82**

2 | 82 |

41 | 41 |

1 |

Prime factors of 82 are 2,41. Prime factorization of **82** in exponential form is:

82 = 2^{1}×41^{1}

**Prime Factorization of 83**

83 | 83 |

1 |

Prime factors of 83 are 83. Prime factorization of **83** in exponential form is:

83 = 83^{1}

∴ So by taking common prime factors GCF of 82 and 83 is 1

**Factors of 82**

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

**Factors of 83**

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

**Greatest Common Factor**

We found the factors and prime factorization of 82 and 83. The biggest common factor number is the **GCF** number.

So the **greatest common factor 82 and 83** is **1**.

Also check out the Least Common Multiple of 82 and 83

(i) The GCF of 82 and 83 is associative

GCF of 82 and 83 = GCF of 83 and 82

1. What is the GCF of 82 and 83?

Answer: GCF of 82 and 83 is 1.

2. What are the Factors of 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

3. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

4. How to Find the GCF of 82 and 83?

Answer:

Greatest Common Factor of 82 and 83 = 1

Step 1: Find the prime factorization of 82

82 = 2 x 41

Step 2: Find the prime factorization of 83

83 = 83

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 82 and 83 is 1