What is the Greatest Common Factor of 82176 and 82188?

Greatest common factor (GCF) of 82176 and 82188 is 12.

GCF(82176,82188) = 12

We will now calculate the prime factors of 82176 and 82188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82176 and 82188.

How to find the GCF of 82176 and 82188?

We will first find the prime factorization of 82176 and 82188. After we will calculate the factors of 82176 and 82188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82188

Prime factors of 82188 are 2, 3, 761. Prime factorization of 82188 in exponential form is:

82188 = 2² × 3³ × 761¹

Step-3: Factors of 82176

List of positive integer factors of 82176 that divides 82176 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

Step-4: Factors of 82188

List of positive integer factors of 82188 that divides 82176 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 761, 1522, 2283, 3044, 4566, 6849, 9132, 13698, 20547, 27396, 41094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82176 and 82188. The biggest common factor number is the GCF number.
So the greatest common factor 82176 and 82188 is 12.

Also check out the Least Common Multiple of 82176 and 82188