What is the Greatest Common Factor of 82165 and 82180?

Greatest common factor (GCF) of 82165 and 82180 is 5.

GCF(82165,82180) = 5

We will now calculate the prime factors of 82165 and 82180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82165 and 82180.

How to find the GCF of 82165 and 82180?

We will first find the prime factorization of 82165 and 82180. After we will calculate the factors of 82165 and 82180 and find the biggest common factor number .

Step-1: Prime Factorization of 82165

Prime factors of 82165 are 5, 16433. Prime factorization of 82165 in exponential form is:

82165 = 5¹ × 16433¹

Step-2: Prime Factorization of 82180

Prime factors of 82180 are 2, 5, 7, 587. Prime factorization of 82180 in exponential form is:

82180 = 2² × 5¹ × 7¹ × 587¹

Step-3: Factors of 82165

List of positive integer factors of 82165 that divides 82165 without a remainder.

1, 5, 16433

Step-4: Factors of 82180

List of positive integer factors of 82180 that divides 82165 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 587, 1174, 2348, 2935, 4109, 5870, 8218, 11740, 16436, 20545, 41090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82165 and 82180. The biggest common factor number is the GCF number.
So the greatest common factor 82165 and 82180 is 5.

Also check out the Least Common Multiple of 82165 and 82180