What is the Greatest Common Factor of 22899 and 22905?

Greatest common factor (GCF) of 22899 and 22905 is 3.

GCF(22899,22905) = 3

We will now calculate the prime factors of 22899 and 22905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22899 and 22905.

How to find the GCF of 22899 and 22905?

We will first find the prime factorization of 22899 and 22905. After we will calculate the factors of 22899 and 22905 and find the biggest common factor number .

Step-1: Prime Factorization of 22899

Prime factors of 22899 are 3, 17, 449. Prime factorization of 22899 in exponential form is:

22899 = 3¹ × 17¹ × 449¹

Step-2: 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-3: Factors of 22899

List of positive integer factors of 22899 that divides 22899 without a remainder.

1, 3, 17, 51, 449, 1347, 7633

Step-4: Factors of 22905

List of positive integer factors of 22905 that divides 22899 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22899 and 22905. The biggest common factor number is the GCF number.
So the greatest common factor 22899 and 22905 is 3.

Also check out the Least Common Multiple of 22899 and 22905