What is the Greatest Common Factor of 82176 and 82192?

Greatest common factor (GCF) of 82176 and 82192 is 16.

GCF(82176,82192) = 16

We will now calculate the prime factors of 82176 and 82192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82176 and 82192.

How to find the GCF of 82176 and 82192?

We will first find the prime factorization of 82176 and 82192. After we will calculate the factors of 82176 and 82192 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 82192

Prime factors of 82192 are 2, 11, 467. Prime factorization of 82192 in exponential form is:

82192 = 2⁴ × 11¹ × 467¹

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 82192

List of positive integer factors of 82192 that divides 82176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 467, 934, 1868, 3736, 5137, 7472, 10274, 20548, 41096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82176 and 82192. The biggest common factor number is the GCF number.
So the greatest common factor 82176 and 82192 is 16.

Also check out the Least Common Multiple of 82176 and 82192