What is the Greatest Common Factor of 28786 and 28798?

Greatest common factor (GCF) of 28786 and 28798 is 2.

GCF(28786,28798) = 2

We will now calculate the prime factors of 28786 and 28798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28786 and 28798.

How to find the GCF of 28786 and 28798?

We will first find the prime factorization of 28786 and 28798. After we will calculate the factors of 28786 and 28798 and find the biggest common factor number .

Step-1: Prime Factorization of 28786

Prime factors of 28786 are 2, 37, 389. Prime factorization of 28786 in exponential form is:

28786 = 2¹ × 37¹ × 389¹

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 28786

List of positive integer factors of 28786 that divides 28786 without a remainder.

1, 2, 37, 74, 389, 778, 14393

Step-4: Factors of 28798

List of positive integer factors of 28798 that divides 28786 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 28786 and 28798. The biggest common factor number is the GCF number.
So the greatest common factor 28786 and 28798 is 2.

Also check out the Least Common Multiple of 28786 and 28798