What is the Greatest Common Factor of 22905 and 22923?

Greatest common factor (GCF) of 22905 and 22923 is 9.

GCF(22905,22923) = 9

We will now calculate the prime factors of 22905 and 22923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22905 and 22923.

How to find the GCF of 22905 and 22923?

We will first find the prime factorization of 22905 and 22923. After we will calculate the factors of 22905 and 22923 and find the biggest common factor number .

Step-1: Prime Factorization of 22905

Prime factors of 22905 are 3, 5, 509. Prime factorization of 22905 in exponential form is:

22905 = 3² × 5¹ × 509¹

Step-2: Prime Factorization of 22923

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

22923 = 3⁴ × 283¹

Step-3: Factors of 22905

List of positive integer factors of 22905 that divides 22905 without a remainder.

1, 3, 5, 9, 15, 45, 509, 1527, 2545, 4581, 7635

Step-4: Factors of 22923

List of positive integer factors of 22923 that divides 22905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22905 and 22923. The biggest common factor number is the GCF number.
So the greatest common factor 22905 and 22923 is 9.

Also check out the Least Common Multiple of 22905 and 22923