What is the Greatest Common Factor of 28858 and 28864?

Greatest common factor (GCF) of 28858 and 28864 is 2.

GCF(28858,28864) = 2

We will now calculate the prime factors of 28858 and 28864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28858 and 28864.

How to find the GCF of 28858 and 28864?

We will first find the prime factorization of 28858 and 28864. After we will calculate the factors of 28858 and 28864 and find the biggest common factor number .

Step-1: Prime Factorization of 28858

Prime factors of 28858 are 2, 47, 307. Prime factorization of 28858 in exponential form is:

28858 = 2¹ × 47¹ × 307¹

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 28858

List of positive integer factors of 28858 that divides 28858 without a remainder.

1, 2, 47, 94, 307, 614, 14429

Step-4: Factors of 28864

List of positive integer factors of 28864 that divides 28858 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 28858 and 28864. The biggest common factor number is the GCF number.
So the greatest common factor 28858 and 28864 is 2.

Also check out the Least Common Multiple of 28858 and 28864