What is the Greatest Common Factor of 22491 and 22509?

Greatest common factor (GCF) of 22491 and 22509 is 9.

GCF(22491,22509) = 9

We will now calculate the prime factors of 22491 and 22509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22491 and 22509.

How to find the GCF of 22491 and 22509?

We will first find the prime factorization of 22491 and 22509. After we will calculate the factors of 22491 and 22509 and find the biggest common factor number .

Step-1: Prime Factorization of 22491

Prime factors of 22491 are 3, 7, 17. Prime factorization of 22491 in exponential form is:

22491 = 3³ × 7² × 17¹

Step-2: Prime Factorization of 22509

Prime factors of 22509 are 3, 41, 61. Prime factorization of 22509 in exponential form is:

22509 = 3² × 41¹ × 61¹

Step-3: Factors of 22491

List of positive integer factors of 22491 that divides 22491 without a remainder.

1, 3, 7, 9, 17, 21, 27, 49, 51, 63, 119, 147, 153, 189, 357, 441, 459, 833, 1071, 1323, 2499, 3213, 7497

Step-4: Factors of 22509

List of positive integer factors of 22509 that divides 22491 without a remainder.

1, 3, 9, 41, 61, 123, 183, 369, 549, 2501, 7503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22491 and 22509. The biggest common factor number is the GCF number.
So the greatest common factor 22491 and 22509 is 9.

Also check out the Least Common Multiple of 22491 and 22509