What is the Greatest Common Factor of 28784 and 28798?

Greatest common factor (GCF) of 28784 and 28798 is 14.

GCF(28784,28798) = 14

We will now calculate the prime factors of 28784 and 28798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28784 and 28798.

How to find the GCF of 28784 and 28798?

We will first find the prime factorization of 28784 and 28798. After we will calculate the factors of 28784 and 28798 and find the biggest common factor number .

Step-1: Prime Factorization of 28784

Prime factors of 28784 are 2, 7, 257. Prime factorization of 28784 in exponential form is:

28784 = 2⁴ × 7¹ × 257¹

Step-2: Prime Factorization of 28798

Prime factors of 28798 are 2, 7, 11, 17. Prime factorization of 28798 in exponential form is:

28798 = 2¹ × 7¹ × 11² × 17¹

Step-3: Factors of 28784

List of positive integer factors of 28784 that divides 28784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 14392

Step-4: Factors of 28798

List of positive integer factors of 28798 that divides 28784 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 121, 154, 187, 238, 242, 374, 847, 1309, 1694, 2057, 2618, 4114, 14399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28784 and 28798. The biggest common factor number is the GCF number.
So the greatest common factor 28784 and 28798 is 14.

Also check out the Least Common Multiple of 28784 and 28798