What is the Greatest Common Factor of 28795 and 28808?

Greatest common factor (GCF) of 28795 and 28808 is 13.

GCF(28795,28808) = 13

We will now calculate the prime factors of 28795 and 28808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28795 and 28808.

How to find the GCF of 28795 and 28808?

We will first find the prime factorization of 28795 and 28808. After we will calculate the factors of 28795 and 28808 and find the biggest common factor number .

Step-1: Prime Factorization of 28795

Prime factors of 28795 are 5, 13, 443. Prime factorization of 28795 in exponential form is:

28795 = 5¹ × 13¹ × 443¹

Step-2: Prime Factorization of 28808

Prime factors of 28808 are 2, 13, 277. Prime factorization of 28808 in exponential form is:

28808 = 2³ × 13¹ × 277¹

Step-3: Factors of 28795

List of positive integer factors of 28795 that divides 28795 without a remainder.

1, 5, 13, 65, 443, 2215, 5759

Step-4: Factors of 28808

List of positive integer factors of 28808 that divides 28795 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 277, 554, 1108, 2216, 3601, 7202, 14404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28795 and 28808. The biggest common factor number is the GCF number.
So the greatest common factor 28795 and 28808 is 13.

Also check out the Least Common Multiple of 28795 and 28808