What is the Greatest Common Factor of 28786 and 28796?

Greatest common factor (GCF) of 28786 and 28796 is 2.

GCF(28786,28796) = 2

We will now calculate the prime factors of 28786 and 28796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28786 and 28796.

How to find the GCF of 28786 and 28796?

We will first find the prime factorization of 28786 and 28796. After we will calculate the factors of 28786 and 28796 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 28796

Prime factors of 28796 are 2, 23, 313. Prime factorization of 28796 in exponential form is:

28796 = 2² × 23¹ × 313¹

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 28796

List of positive integer factors of 28796 that divides 28786 without a remainder.

1, 2, 4, 23, 46, 92, 313, 626, 1252, 7199, 14398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28786 and 28796. The biggest common factor number is the GCF number.
So the greatest common factor 28786 and 28796 is 2.

Also check out the Least Common Multiple of 28786 and 28796