What is the Greatest Common Factor of 24393 and 24409?

Greatest common factor (GCF) of 24393 and 24409 is 1.

GCF(24393,24409) = 1

We will now calculate the prime factors of 24393 and 24409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24393 and 24409.

How to find the GCF of 24393 and 24409?

We will first find the prime factorization of 24393 and 24409. After we will calculate the factors of 24393 and 24409 and find the biggest common factor number .

Step-1: Prime Factorization of 24393

Prime factors of 24393 are 3, 47, 173. Prime factorization of 24393 in exponential form is:

24393 = 3¹ × 47¹ × 173¹

Step-2: Prime Factorization of 24409

Prime factors of 24409 are 7, 11, 317. Prime factorization of 24409 in exponential form is:

24409 = 7¹ × 11¹ × 317¹

Step-3: Factors of 24393

List of positive integer factors of 24393 that divides 24393 without a remainder.

1, 3, 47, 141, 173, 519, 8131

Step-4: Factors of 24409

List of positive integer factors of 24409 that divides 24393 without a remainder.

1, 7, 11, 77, 317, 2219, 3487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24393 and 24409. The biggest common factor number is the GCF number.
So the greatest common factor 24393 and 24409 is 1.

Also check out the Least Common Multiple of 24393 and 24409