What is the Greatest Common Factor of 28790 and 28805?

Greatest common factor (GCF) of 28790 and 28805 is 5.

GCF(28790,28805) = 5

We will now calculate the prime factors of 28790 and 28805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28790 and 28805.

How to find the GCF of 28790 and 28805?

We will first find the prime factorization of 28790 and 28805. After we will calculate the factors of 28790 and 28805 and find the biggest common factor number .

Step-1: Prime Factorization of 28790

Prime factors of 28790 are 2, 5, 2879. Prime factorization of 28790 in exponential form is:

28790 = 2¹ × 5¹ × 2879¹

Step-2: Prime Factorization of 28805

Prime factors of 28805 are 5, 7, 823. Prime factorization of 28805 in exponential form is:

28805 = 5¹ × 7¹ × 823¹

Step-3: Factors of 28790

List of positive integer factors of 28790 that divides 28790 without a remainder.

1, 2, 5, 10, 2879, 5758, 14395

Step-4: Factors of 28805

List of positive integer factors of 28805 that divides 28790 without a remainder.

1, 5, 7, 35, 823, 4115, 5761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28790 and 28805. The biggest common factor number is the GCF number.
So the greatest common factor 28790 and 28805 is 5.

Also check out the Least Common Multiple of 28790 and 28805