What is the Greatest Common Factor of 28804 and 28822?

Greatest common factor (GCF) of 28804 and 28822 is 2.

GCF(28804,28822) = 2

We will now calculate the prime factors of 28804 and 28822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28804 and 28822.

How to find the GCF of 28804 and 28822?

We will first find the prime factorization of 28804 and 28822. After we will calculate the factors of 28804 and 28822 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 28822

Prime factors of 28822 are 2, 14411. Prime factorization of 28822 in exponential form is:

28822 = 2¹ × 14411¹

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 28822

List of positive integer factors of 28822 that divides 28804 without a remainder.

1, 2, 14411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28804 and 28822. The biggest common factor number is the GCF number.
So the greatest common factor 28804 and 28822 is 2.

Also check out the Least Common Multiple of 28804 and 28822