What is the Greatest Common Factor of 28864 and 28872?

Greatest common factor (GCF) of 28864 and 28872 is 8.

GCF(28864,28872) = 8

We will now calculate the prime factors of 28864 and 28872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28872.

How to find the GCF of 28864 and 28872?

We will first find the prime factorization of 28864 and 28872. After we will calculate the factors of 28864 and 28872 and find the biggest common factor number .

Step-1: Prime Factorization of 28864

Prime factors of 28864 are 2, 11, 41. Prime factorization of 28864 in exponential form is:

28864 = 2⁶ × 11¹ × 41¹

Step-2: Prime Factorization of 28872

Prime factors of 28872 are 2, 3, 401. Prime factorization of 28872 in exponential form is:

28872 = 2³ × 3² × 401¹

Step-3: Factors of 28864

List of positive integer factors of 28864 that divides 28864 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 64, 82, 88, 164, 176, 328, 352, 451, 656, 704, 902, 1312, 1804, 2624, 3608, 7216, 14432

Step-4: Factors of 28872

List of positive integer factors of 28872 that divides 28864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 401, 802, 1203, 1604, 2406, 3208, 3609, 4812, 7218, 9624, 14436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28872. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28872 is 8.

Also check out the Least Common Multiple of 28864 and 28872