What is the Greatest Common Factor of 22923 and 22933?

Greatest common factor (GCF) of 22923 and 22933 is 1.

GCF(22923,22933) = 1

We will now calculate the prime factors of 22923 and 22933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22923 and 22933.

How to find the GCF of 22923 and 22933?

We will first find the prime factorization of 22923 and 22933. After we will calculate the factors of 22923 and 22933 and find the biggest common factor number .

Step-1: Prime Factorization of 22923

Prime factors of 22923 are 3, 283. Prime factorization of 22923 in exponential form is:

22923 = 3⁴ × 283¹

Step-2: Prime Factorization of 22933

Prime factors of 22933 are 17, 19, 71. Prime factorization of 22933 in exponential form is:

22933 = 17¹ × 19¹ × 71¹

Step-3: Factors of 22923

List of positive integer factors of 22923 that divides 22923 without a remainder.

1, 3, 9, 27, 81, 283, 849, 2547, 7641

Step-4: Factors of 22933

List of positive integer factors of 22933 that divides 22923 without a remainder.

1, 17, 19, 71, 323, 1207, 1349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22923 and 22933. The biggest common factor number is the GCF number.
So the greatest common factor 22923 and 22933 is 1.

Also check out the Least Common Multiple of 22923 and 22933