What is the Greatest Common Factor of 80864 and 80872?

Greatest common factor (GCF) of 80864 and 80872 is 8.

GCF(80864,80872) = 8

We will now calculate the prime factors of 80864 and 80872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80864 and 80872.

How to find the GCF of 80864 and 80872?

We will first find the prime factorization of 80864 and 80872. After we will calculate the factors of 80864 and 80872 and find the biggest common factor number .

Step-1: Prime Factorization of 80864

Prime factors of 80864 are 2, 7, 19. Prime factorization of 80864 in exponential form is:

80864 = 2⁵ × 7¹ × 19²

Step-2: Prime Factorization of 80872

Prime factors of 80872 are 2, 11, 919. Prime factorization of 80872 in exponential form is:

80872 = 2³ × 11¹ × 919¹

Step-3: Factors of 80864

List of positive integer factors of 80864 that divides 80864 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 361, 532, 608, 722, 1064, 1444, 2128, 2527, 2888, 4256, 5054, 5776, 10108, 11552, 20216, 40432

Step-4: Factors of 80872

List of positive integer factors of 80872 that divides 80864 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 919, 1838, 3676, 7352, 10109, 20218, 40436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80864 and 80872. The biggest common factor number is the GCF number.
So the greatest common factor 80864 and 80872 is 8.

Also check out the Least Common Multiple of 80864 and 80872