What is the Greatest Common Factor of 24310 and 24321?

Greatest common factor (GCF) of 24310 and 24321 is 11.

GCF(24310,24321) = 11

We will now calculate the prime factors of 24310 and 24321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24310 and 24321.

How to find the GCF of 24310 and 24321?

We will first find the prime factorization of 24310 and 24321. After we will calculate the factors of 24310 and 24321 and find the biggest common factor number .

Step-1: Prime Factorization of 24310

Prime factors of 24310 are 2, 5, 11, 13, 17. Prime factorization of 24310 in exponential form is:

24310 = 2¹ × 5¹ × 11¹ × 13¹ × 17¹

Step-2: 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-3: Factors of 24310

List of positive integer factors of 24310 that divides 24310 without a remainder.

1, 2, 5, 10, 11, 13, 17, 22, 26, 34, 55, 65, 85, 110, 130, 143, 170, 187, 221, 286, 374, 442, 715, 935, 1105, 1430, 1870, 2210, 2431, 4862, 12155

Step-4: Factors of 24321

List of positive integer factors of 24321 that divides 24310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24310 and 24321. The biggest common factor number is the GCF number.
So the greatest common factor 24310 and 24321 is 11.

Also check out the Least Common Multiple of 24310 and 24321