What is the Greatest Common Factor of 28864 and 28881?

Greatest common factor (GCF) of 28864 and 28881 is 1.

GCF(28864,28881) = 1

We will now calculate the prime factors of 28864 and 28881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28881.

How to find the GCF of 28864 and 28881?

We will first find the prime factorization of 28864 and 28881. After we will calculate the factors of 28864 and 28881 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 28881

Prime factors of 28881 are 3, 3209. Prime factorization of 28881 in exponential form is:

28881 = 3² × 3209¹

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 28881

List of positive integer factors of 28881 that divides 28864 without a remainder.

1, 3, 9, 3209, 9627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28881. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28881 is 1.

Also check out the Least Common Multiple of 28864 and 28881