Greatest Common Factor of 83 and 86

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

• Greatest Common Factor of 83 and 86 by prime factorization method
• Greatest Common Factor of 83 and 86 by matching factors method

Prime Factorization of 83

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

83 = 83¹

Prime Factorization of 86

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

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

(i) The GCF of 83 and 86 is associative

GCF of 83 and 86 = GCF of 86 and 83

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