What is the Greatest Common Factor of 83166 and 83182?

Greatest common factor (GCF) of 83166 and 83182 is 2.

GCF(83166,83182) = 2

We will now calculate the prime factors of 83166 and 83182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83166 and 83182.

How to find the GCF of 83166 and 83182?

We will first find the prime factorization of 83166 and 83182. After we will calculate the factors of 83166 and 83182 and find the biggest common factor number .

Step-1: Prime Factorization of 83166

Prime factors of 83166 are 2, 3, 83, 167. Prime factorization of 83166 in exponential form is:

83166 = 2¹ × 3¹ × 83¹ × 167¹

Step-2: Prime Factorization of 83182

Prime factors of 83182 are 2, 11, 19, 199. Prime factorization of 83182 in exponential form is:

83182 = 2¹ × 11¹ × 19¹ × 199¹

Step-3: Factors of 83166

List of positive integer factors of 83166 that divides 83166 without a remainder.

1, 2, 3, 6, 83, 166, 167, 249, 334, 498, 501, 1002, 13861, 27722, 41583

Step-4: Factors of 83182

List of positive integer factors of 83182 that divides 83166 without a remainder.

1, 2, 11, 19, 22, 38, 199, 209, 398, 418, 2189, 3781, 4378, 7562, 41591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83166 and 83182. The biggest common factor number is the GCF number.
So the greatest common factor 83166 and 83182 is 2.

Also check out the Least Common Multiple of 83166 and 83182