What is the Greatest Common Factor of 28804 and 28823?

Greatest common factor (GCF) of 28804 and 28823 is 19.

GCF(28804,28823) = 19

We will now calculate the prime factors of 28804 and 28823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28804 and 28823.

How to find the GCF of 28804 and 28823?

We will first find the prime factorization of 28804 and 28823. After we will calculate the factors of 28804 and 28823 and find the biggest common factor number .

Step-1: Prime Factorization of 28804

Prime factors of 28804 are 2, 19, 379. Prime factorization of 28804 in exponential form is:

28804 = 2² × 19¹ × 379¹

Step-2: Prime Factorization of 28823

Prime factors of 28823 are 19, 37, 41. Prime factorization of 28823 in exponential form is:

28823 = 19¹ × 37¹ × 41¹

Step-3: Factors of 28804

List of positive integer factors of 28804 that divides 28804 without a remainder.

1, 2, 4, 19, 38, 76, 379, 758, 1516, 7201, 14402

Step-4: Factors of 28823

List of positive integer factors of 28823 that divides 28804 without a remainder.

1, 19, 37, 41, 703, 779, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28804 and 28823. The biggest common factor number is the GCF number.
So the greatest common factor 28804 and 28823 is 19.

Also check out the Least Common Multiple of 28804 and 28823