Greatest Common Factor of 83 and 86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 83, 86 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 83 and 86 is 1.

GCF(83,86) = 1

GCF of 83 and 86

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

GCF of:
and

Greatest Common Factor of 83 and 86

GCF of 83 and 86 is 1

Prime Factorization of 83


83 83
1

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

83 = 831

Prime Factorization of 86


2 86
43 43
1

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

86 = 21×431

∴ So by taking common prime factors GCF of 83 and 86 is 1

Greatest Common Factor of 83 and 86 by matching factors method

Factors of 83

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

1,83

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 83 and 86. The biggest common factor number is the GCF number.
So the greatest common factor 83 and 86 is 1.

Also check out the Least Common Multiple of 83 and 86

Properties of GCF 83 and 86

(i) The GCF of 83 and 86 is associative

GCF of 83 and 86 = GCF of 86 and 83

Frequently Asked Questions on GCF of 83 and 86

1. What is the GCF of 83 and 86?

Answer: GCF of 83 and 86 is 1.

2. 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.

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 83 and 86?

Answer:

Greatest Common Factor of 83 and 86 = 1

Step 1: Find the prime factorization of 83

83 = 83

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 83 and 86 is 1