Greatest Common Factor of 82 and 89

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

• Greatest Common Factor of 82 and 89 by prime factorization method
• Greatest Common Factor of 82 and 89 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 89

Prime factors of 89 are 89. Prime factorization of 89 in exponential form is:

89 = 89¹

∴ So by taking common prime factors GCF of 82 and 89 is 1

Factors of 82

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

1,2,41,82

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors and prime factorization of 82 and 89. The biggest common factor number is the GCF number.
So the greatest common factor 82 and 89 is 1.

Also check out the Least Common Multiple of 82 and 89

(i) The GCF of 82 and 89 is associative

GCF of 82 and 89 = GCF of 89 and 82

1. What is the GCF of 82 and 89?

Answer: GCF of 82 and 89 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 89?

Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.

4. How to Find the GCF of 82 and 89?

Answer:

Greatest Common Factor of 82 and 89 = 1

Step 1: Find the prime factorization of 82

82 = 2 x 41

Step 2: Find the prime factorization of 89

89 = 89

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 89 is 1