What is the Greatest Common Factor of 24393 and 24412?

Greatest common factor (GCF) of 24393 and 24412 is 1.

GCF(24393,24412) = 1

We will now calculate the prime factors of 24393 and 24412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24393 and 24412.

How to find the GCF of 24393 and 24412?

We will first find the prime factorization of 24393 and 24412. After we will calculate the factors of 24393 and 24412 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 24412

Prime factors of 24412 are 2, 17, 359. Prime factorization of 24412 in exponential form is:

24412 = 2² × 17¹ × 359¹

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 24412

List of positive integer factors of 24412 that divides 24393 without a remainder.

1, 2, 4, 17, 34, 68, 359, 718, 1436, 6103, 12206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24393 and 24412. The biggest common factor number is the GCF number.
So the greatest common factor 24393 and 24412 is 1.

Also check out the Least Common Multiple of 24393 and 24412