What is the Greatest Common Factor of 80916 and 80928?

Greatest common factor (GCF) of 80916 and 80928 is 12.

GCF(80916,80928) = 12

We will now calculate the prime factors of 80916 and 80928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80916 and 80928.

How to find the GCF of 80916 and 80928?

We will first find the prime factorization of 80916 and 80928. After we will calculate the factors of 80916 and 80928 and find the biggest common factor number .

Step-1: Prime Factorization of 80916

Prime factors of 80916 are 2, 3, 11, 613. Prime factorization of 80916 in exponential form is:

80916 = 2² × 3¹ × 11¹ × 613¹

Step-2: 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-3: Factors of 80916

List of positive integer factors of 80916 that divides 80916 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 613, 1226, 1839, 2452, 3678, 6743, 7356, 13486, 20229, 26972, 40458

Step-4: Factors of 80928

List of positive integer factors of 80928 that divides 80916 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80916 and 80928. The biggest common factor number is the GCF number.
So the greatest common factor 80916 and 80928 is 12.

Also check out the Least Common Multiple of 80916 and 80928