What is the Greatest Common Factor of 82107 and 82121?

Greatest common factor (GCF) of 82107 and 82121 is 1.

GCF(82107,82121) = 1

We will now calculate the prime factors of 82107 and 82121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82107 and 82121.

How to find the GCF of 82107 and 82121?

We will first find the prime factorization of 82107 and 82121. After we will calculate the factors of 82107 and 82121 and find the biggest common factor number .

Step-1: Prime Factorization of 82107

Prime factors of 82107 are 3, 3041. Prime factorization of 82107 in exponential form is:

82107 = 3³ × 3041¹

Step-2: Prime Factorization of 82121

Prime factors of 82121 are 13, 6317. Prime factorization of 82121 in exponential form is:

82121 = 13¹ × 6317¹

Step-3: Factors of 82107

List of positive integer factors of 82107 that divides 82107 without a remainder.

1, 3, 9, 27, 3041, 9123, 27369

Step-4: Factors of 82121

List of positive integer factors of 82121 that divides 82107 without a remainder.

1, 13, 6317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82107 and 82121. The biggest common factor number is the GCF number.
So the greatest common factor 82107 and 82121 is 1.

Also check out the Least Common Multiple of 82107 and 82121