What is the Greatest Common Factor of 82121 and 82134?

Greatest common factor (GCF) of 82121 and 82134 is 13.

GCF(82121,82134) = 13

We will now calculate the prime factors of 82121 and 82134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82121 and 82134.

How to find the GCF of 82121 and 82134?

We will first find the prime factorization of 82121 and 82134. After we will calculate the factors of 82121 and 82134 and find the biggest common factor number .

Step-1: Prime Factorization of 82121

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

82121 = 13¹ × 6317¹

Step-2: Prime Factorization of 82134

Prime factors of 82134 are 2, 3, 13. Prime factorization of 82134 in exponential form is:

82134 = 2¹ × 3⁵ × 13²

Step-3: Factors of 82121

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

1, 13, 6317

Step-4: Factors of 82134

List of positive integer factors of 82134 that divides 82121 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 169, 234, 243, 338, 351, 486, 507, 702, 1014, 1053, 1521, 2106, 3042, 3159, 4563, 6318, 9126, 13689, 27378, 41067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82121 and 82134. The biggest common factor number is the GCF number.
So the greatest common factor 82121 and 82134 is 13.

Also check out the Least Common Multiple of 82121 and 82134