What is the Greatest Common Factor of 80928 and 80934?

Greatest common factor (GCF) of 80928 and 80934 is 6.

GCF(80928,80934) = 6

We will now calculate the prime factors of 80928 and 80934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80928 and 80934.

How to find the GCF of 80928 and 80934?

We will first find the prime factorization of 80928 and 80934. After we will calculate the factors of 80928 and 80934 and find the biggest common factor number .

Step-1: Prime Factorization of 80928

Prime factors of 80928 are 2, 3, 281. Prime factorization of 80928 in exponential form is:

80928 = 2⁵ × 3² × 281¹

Step-2: Prime Factorization of 80934

Prime factors of 80934 are 2, 3, 7, 41, 47. Prime factorization of 80934 in exponential form is:

80934 = 2¹ × 3¹ × 7¹ × 41¹ × 47¹

Step-3: Factors of 80928

List of positive integer factors of 80928 that divides 80928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 281, 288, 562, 843, 1124, 1686, 2248, 2529, 3372, 4496, 5058, 6744, 8992, 10116, 13488, 20232, 26976, 40464

Step-4: Factors of 80934

List of positive integer factors of 80934 that divides 80928 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 47, 82, 94, 123, 141, 246, 282, 287, 329, 574, 658, 861, 987, 1722, 1927, 1974, 3854, 5781, 11562, 13489, 26978, 40467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80928 and 80934. The biggest common factor number is the GCF number.
So the greatest common factor 80928 and 80934 is 6.

Also check out the Least Common Multiple of 80928 and 80934