What is the Greatest Common Factor of 24310 and 24323?

Greatest common factor (GCF) of 24310 and 24323 is 13.

GCF(24310,24323) = 13

We will now calculate the prime factors of 24310 and 24323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24310 and 24323.

How to find the GCF of 24310 and 24323?

We will first find the prime factorization of 24310 and 24323. After we will calculate the factors of 24310 and 24323 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 24323

Prime factors of 24323 are 13, 1871. Prime factorization of 24323 in exponential form is:

24323 = 13¹ × 1871¹

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 24323

List of positive integer factors of 24323 that divides 24310 without a remainder.

1, 13, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24310 and 24323. The biggest common factor number is the GCF number.
So the greatest common factor 24310 and 24323 is 13.

Also check out the Least Common Multiple of 24310 and 24323