What is the Greatest Common Factor of 28864 and 28882?

Greatest common factor (GCF) of 28864 and 28882 is 2.

GCF(28864,28882) = 2

We will now calculate the prime factors of 28864 and 28882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28882.

How to find the GCF of 28864 and 28882?

We will first find the prime factorization of 28864 and 28882. After we will calculate the factors of 28864 and 28882 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 28882

Prime factors of 28882 are 2, 7, 2063. Prime factorization of 28882 in exponential form is:

28882 = 2¹ × 7¹ × 2063¹

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 28882

List of positive integer factors of 28882 that divides 28864 without a remainder.

1, 2, 7, 14, 2063, 4126, 14441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28882. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28882 is 2.

Also check out the Least Common Multiple of 28864 and 28882