What is the Greatest Common Factor of 24310 and 24330?

Greatest common factor (GCF) of 24310 and 24330 is 10.

GCF(24310,24330) = 10

We will now calculate the prime factors of 24310 and 24330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24310 and 24330.

How to find the GCF of 24310 and 24330?

We will first find the prime factorization of 24310 and 24330. After we will calculate the factors of 24310 and 24330 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 24330

Prime factors of 24330 are 2, 3, 5, 811. Prime factorization of 24330 in exponential form is:

24330 = 2¹ × 3¹ × 5¹ × 811¹

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 24330

List of positive integer factors of 24330 that divides 24310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 811, 1622, 2433, 4055, 4866, 8110, 12165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24310 and 24330. The biggest common factor number is the GCF number.
So the greatest common factor 24310 and 24330 is 10.

Also check out the Least Common Multiple of 24310 and 24330