What is the Greatest Common Factor of 80928 and 80938?

Greatest common factor (GCF) of 80928 and 80938 is 2.

GCF(80928,80938) = 2

We will now calculate the prime factors of 80928 and 80938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80928 and 80938.

How to find the GCF of 80928 and 80938?

We will first find the prime factorization of 80928 and 80938. After we will calculate the factors of 80928 and 80938 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 80938

Prime factors of 80938 are 2, 11, 13, 283. Prime factorization of 80938 in exponential form is:

80938 = 2¹ × 11¹ × 13¹ × 283¹

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 80938

List of positive integer factors of 80938 that divides 80928 without a remainder.

1, 2, 11, 13, 22, 26, 143, 283, 286, 566, 3113, 3679, 6226, 7358, 40469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80928 and 80938. The biggest common factor number is the GCF number.
So the greatest common factor 80928 and 80938 is 2.

Also check out the Least Common Multiple of 80928 and 80938