What is the Greatest Common Factor of 28864 and 28884?

Greatest common factor (GCF) of 28864 and 28884 is 4.

GCF(28864,28884) = 4

We will now calculate the prime factors of 28864 and 28884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28884.

How to find the GCF of 28864 and 28884?

We will first find the prime factorization of 28864 and 28884. After we will calculate the factors of 28864 and 28884 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 28884

Prime factors of 28884 are 2, 3, 29, 83. Prime factorization of 28884 in exponential form is:

28884 = 2² × 3¹ × 29¹ × 83¹

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 28884

List of positive integer factors of 28884 that divides 28864 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 83, 87, 116, 166, 174, 249, 332, 348, 498, 996, 2407, 4814, 7221, 9628, 14442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28884. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28884 is 4.

Also check out the Least Common Multiple of 28864 and 28884