What is the Greatest Common Factor of 28864 and 28871?

Greatest common factor (GCF) of 28864 and 28871 is 1.

GCF(28864,28871) = 1

We will now calculate the prime factors of 28864 and 28871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28871.

How to find the GCF of 28864 and 28871?

We will first find the prime factorization of 28864 and 28871. After we will calculate the factors of 28864 and 28871 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 28871

Prime factors of 28871 are 28871. Prime factorization of 28871 in exponential form is:

28871 = 28871¹

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 28871

List of positive integer factors of 28871 that divides 28864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28871. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28871 is 1.

Also check out the Least Common Multiple of 28864 and 28871