What is the Greatest Common Factor of 82173 and 82186?

Greatest common factor (GCF) of 82173 and 82186 is 13.

GCF(82173,82186) = 13

We will now calculate the prime factors of 82173 and 82186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82173 and 82186.

How to find the GCF of 82173 and 82186?

We will first find the prime factorization of 82173 and 82186. After we will calculate the factors of 82173 and 82186 and find the biggest common factor number .

Step-1: Prime Factorization of 82173

Prime factors of 82173 are 3, 7, 13, 43. Prime factorization of 82173 in exponential form is:

82173 = 3¹ × 7² × 13¹ × 43¹

Step-2: Prime Factorization of 82186

Prime factors of 82186 are 2, 13, 29, 109. Prime factorization of 82186 in exponential form is:

82186 = 2¹ × 13¹ × 29¹ × 109¹

Step-3: Factors of 82173

List of positive integer factors of 82173 that divides 82173 without a remainder.

1, 3, 7, 13, 21, 39, 43, 49, 91, 129, 147, 273, 301, 559, 637, 903, 1677, 1911, 2107, 3913, 6321, 11739, 27391

Step-4: Factors of 82186

List of positive integer factors of 82186 that divides 82173 without a remainder.

1, 2, 13, 26, 29, 58, 109, 218, 377, 754, 1417, 2834, 3161, 6322, 41093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82173 and 82186. The biggest common factor number is the GCF number.
So the greatest common factor 82173 and 82186 is 13.

Also check out the Least Common Multiple of 82173 and 82186