What is the Greatest Common Factor of 22796 and 22804?

Greatest common factor (GCF) of 22796 and 22804 is 4.

GCF(22796,22804) = 4

We will now calculate the prime factors of 22796 and 22804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22796 and 22804.

How to find the GCF of 22796 and 22804?

We will first find the prime factorization of 22796 and 22804. After we will calculate the factors of 22796 and 22804 and find the biggest common factor number .

Step-1: Prime Factorization of 22796

Prime factors of 22796 are 2, 41, 139. Prime factorization of 22796 in exponential form is:

22796 = 2² × 41¹ × 139¹

Step-2: Prime Factorization of 22804

Prime factors of 22804 are 2, 5701. Prime factorization of 22804 in exponential form is:

22804 = 2² × 5701¹

Step-3: Factors of 22796

List of positive integer factors of 22796 that divides 22796 without a remainder.

1, 2, 4, 41, 82, 139, 164, 278, 556, 5699, 11398

Step-4: Factors of 22804

List of positive integer factors of 22804 that divides 22796 without a remainder.

1, 2, 4, 5701, 11402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22796 and 22804. The biggest common factor number is the GCF number.
So the greatest common factor 22796 and 22804 is 4.

Also check out the Least Common Multiple of 22796 and 22804