What is the Greatest Common Factor of 22797 and 22815?

Greatest common factor (GCF) of 22797 and 22815 is 9.

GCF(22797,22815) = 9

We will now calculate the prime factors of 22797 and 22815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22797 and 22815.

How to find the GCF of 22797 and 22815?

We will first find the prime factorization of 22797 and 22815. After we will calculate the factors of 22797 and 22815 and find the biggest common factor number .

Step-1: Prime Factorization of 22797

Prime factors of 22797 are 3, 17, 149. Prime factorization of 22797 in exponential form is:

22797 = 3² × 17¹ × 149¹

Step-2: Prime Factorization of 22815

Prime factors of 22815 are 3, 5, 13. Prime factorization of 22815 in exponential form is:

22815 = 3³ × 5¹ × 13²

Step-3: Factors of 22797

List of positive integer factors of 22797 that divides 22797 without a remainder.

1, 3, 9, 17, 51, 149, 153, 447, 1341, 2533, 7599

Step-4: Factors of 22815

List of positive integer factors of 22815 that divides 22797 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 169, 195, 351, 507, 585, 845, 1521, 1755, 2535, 4563, 7605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22797 and 22815. The biggest common factor number is the GCF number.
So the greatest common factor 22797 and 22815 is 9.

Also check out the Least Common Multiple of 22797 and 22815