What is the Greatest Common Factor of 82134 and 82147?

Greatest common factor (GCF) of 82134 and 82147 is 13.

GCF(82134,82147) = 13

We will now calculate the prime factors of 82134 and 82147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82134 and 82147.

How to find the GCF of 82134 and 82147?

We will first find the prime factorization of 82134 and 82147. After we will calculate the factors of 82134 and 82147 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82147

Prime factors of 82147 are 13, 71, 89. Prime factorization of 82147 in exponential form is:

82147 = 13¹ × 71¹ × 89¹

Step-3: Factors of 82134

List of positive integer factors of 82134 that divides 82134 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

Step-4: Factors of 82147

List of positive integer factors of 82147 that divides 82134 without a remainder.

1, 13, 71, 89, 923, 1157, 6319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82134 and 82147. The biggest common factor number is the GCF number.
So the greatest common factor 82134 and 82147 is 13.

Also check out the Least Common Multiple of 82134 and 82147