What is the Greatest Common Factor of 82164 and 82176?

Greatest common factor (GCF) of 82164 and 82176 is 12.

GCF(82164,82176) = 12

We will now calculate the prime factors of 82164 and 82176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82164 and 82176.

How to find the GCF of 82164 and 82176?

We will first find the prime factorization of 82164 and 82176. After we will calculate the factors of 82164 and 82176 and find the biggest common factor number .

Step-1: Prime Factorization of 82164

Prime factors of 82164 are 2, 3, 41, 167. Prime factorization of 82164 in exponential form is:

82164 = 2² × 3¹ × 41¹ × 167¹

Step-2: Prime Factorization of 82176

Prime factors of 82176 are 2, 3, 107. Prime factorization of 82176 in exponential form is:

82176 = 2⁸ × 3¹ × 107¹

Step-3: Factors of 82164

List of positive integer factors of 82164 that divides 82164 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 167, 246, 334, 492, 501, 668, 1002, 2004, 6847, 13694, 20541, 27388, 41082

Step-4: Factors of 82176

List of positive integer factors of 82176 that divides 82164 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 107, 128, 192, 214, 256, 321, 384, 428, 642, 768, 856, 1284, 1712, 2568, 3424, 5136, 6848, 10272, 13696, 20544, 27392, 41088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82164 and 82176. The biggest common factor number is the GCF number.
So the greatest common factor 82164 and 82176 is 12.

Also check out the Least Common Multiple of 82164 and 82176