What is the Greatest Common Factor of 28856 and 28864?

Greatest common factor (GCF) of 28856 and 28864 is 8.

GCF(28856,28864) = 8

We will now calculate the prime factors of 28856 and 28864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28856 and 28864.

How to find the GCF of 28856 and 28864?

We will first find the prime factorization of 28856 and 28864. After we will calculate the factors of 28856 and 28864 and find the biggest common factor number .

Step-1: Prime Factorization of 28856

Prime factors of 28856 are 2, 3607. Prime factorization of 28856 in exponential form is:

28856 = 2³ × 3607¹

Step-2: 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-3: Factors of 28856

List of positive integer factors of 28856 that divides 28856 without a remainder.

1, 2, 4, 8, 3607, 7214, 14428

Step-4: Factors of 28864

List of positive integer factors of 28864 that divides 28856 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28856 and 28864. The biggest common factor number is the GCF number.
So the greatest common factor 28856 and 28864 is 8.

Also check out the Least Common Multiple of 28856 and 28864