What is the Greatest Common Factor of 28864 and 28869?

Greatest common factor (GCF) of 28864 and 28869 is 1.

GCF(28864,28869) = 1

We will now calculate the prime factors of 28864 and 28869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28869.

How to find the GCF of 28864 and 28869?

We will first find the prime factorization of 28864 and 28869. After we will calculate the factors of 28864 and 28869 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 28869

Prime factors of 28869 are 3, 9623. Prime factorization of 28869 in exponential form is:

28869 = 3¹ × 9623¹

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 28869

List of positive integer factors of 28869 that divides 28864 without a remainder.

1, 3, 9623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28869. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28869 is 1.

Also check out the Least Common Multiple of 28864 and 28869