What is the Greatest Common Factor of 80928 and 80944?

Greatest common factor (GCF) of 80928 and 80944 is 16.

GCF(80928,80944) = 16

We will now calculate the prime factors of 80928 and 80944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80928 and 80944.

How to find the GCF of 80928 and 80944?

We will first find the prime factorization of 80928 and 80944. After we will calculate the factors of 80928 and 80944 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 80944

Prime factors of 80944 are 2, 5059. Prime factorization of 80944 in exponential form is:

80944 = 2⁴ × 5059¹

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 80944

List of positive integer factors of 80944 that divides 80928 without a remainder.

1, 2, 4, 8, 16, 5059, 10118, 20236, 40472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80928 and 80944. The biggest common factor number is the GCF number.
So the greatest common factor 80928 and 80944 is 16.

Also check out the Least Common Multiple of 80928 and 80944