What is the Greatest Common Factor of 24321 and 24341?

Greatest common factor (GCF) of 24321 and 24341 is 1.

GCF(24321,24341) = 1

We will now calculate the prime factors of 24321 and 24341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24321 and 24341.

How to find the GCF of 24321 and 24341?

We will first find the prime factorization of 24321 and 24341. After we will calculate the factors of 24321 and 24341 and find the biggest common factor number .

Step-1: Prime Factorization of 24321

Prime factors of 24321 are 3, 11, 67. Prime factorization of 24321 in exponential form is:

24321 = 3¹ × 11² × 67¹

Step-2: Prime Factorization of 24341

Prime factors of 24341 are 101, 241. Prime factorization of 24341 in exponential form is:

24341 = 101¹ × 241¹

Step-3: Factors of 24321

List of positive integer factors of 24321 that divides 24321 without a remainder.

1, 3, 11, 33, 67, 121, 201, 363, 737, 2211, 8107

Step-4: Factors of 24341

List of positive integer factors of 24341 that divides 24321 without a remainder.

1, 101, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24321 and 24341. The biggest common factor number is the GCF number.
So the greatest common factor 24321 and 24341 is 1.

Also check out the Least Common Multiple of 24321 and 24341