What is the Greatest Common Factor of 82166 and 82173?

Greatest common factor (GCF) of 82166 and 82173 is 7.

GCF(82166,82173) = 7

We will now calculate the prime factors of 82166 and 82173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82166 and 82173.

How to find the GCF of 82166 and 82173?

We will first find the prime factorization of 82166 and 82173. After we will calculate the factors of 82166 and 82173 and find the biggest common factor number .

Step-1: Prime Factorization of 82166

Prime factors of 82166 are 2, 7, 5869. Prime factorization of 82166 in exponential form is:

82166 = 2¹ × 7¹ × 5869¹

Step-2: 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-3: Factors of 82166

List of positive integer factors of 82166 that divides 82166 without a remainder.

1, 2, 7, 14, 5869, 11738, 41083

Step-4: Factors of 82173

List of positive integer factors of 82173 that divides 82166 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82166 and 82173. The biggest common factor number is the GCF number.
So the greatest common factor 82166 and 82173 is 7.

Also check out the Least Common Multiple of 82166 and 82173