Greatest Common Factor of 82 and 83

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

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

82 = 2¹×41¹

Prime Factorization of 83

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

83 = 83¹

∴ 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