What is the Greatest Common Factor of 82180 and 82198?

Greatest common factor (GCF) of 82180 and 82198 is 2.

GCF(82180,82198) = 2

We will now calculate the prime factors of 82180 and 82198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82180 and 82198.

How to find the GCF of 82180 and 82198?

We will first find the prime factorization of 82180 and 82198. After we will calculate the factors of 82180 and 82198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82198

Prime factors of 82198 are 2, 73, 563. Prime factorization of 82198 in exponential form is:

82198 = 2¹ × 73¹ × 563¹

Step-3: Factors of 82180

List of positive integer factors of 82180 that divides 82180 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

Step-4: Factors of 82198

List of positive integer factors of 82198 that divides 82180 without a remainder.

1, 2, 73, 146, 563, 1126, 41099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82180 and 82198. The biggest common factor number is the GCF number.
So the greatest common factor 82180 and 82198 is 2.

Also check out the Least Common Multiple of 82180 and 82198