What is the Greatest Common Factor of 24294 and 24310?

Greatest common factor (GCF) of 24294 and 24310 is 2.

GCF(24294,24310) = 2

We will now calculate the prime factors of 24294 and 24310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24294 and 24310.

How to find the GCF of 24294 and 24310?

We will first find the prime factorization of 24294 and 24310. After we will calculate the factors of 24294 and 24310 and find the biggest common factor number .

Step-1: Prime Factorization of 24294

Prime factors of 24294 are 2, 3, 4049. Prime factorization of 24294 in exponential form is:

24294 = 2¹ × 3¹ × 4049¹

Step-2: 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-3: Factors of 24294

List of positive integer factors of 24294 that divides 24294 without a remainder.

1, 2, 3, 6, 4049, 8098, 12147

Step-4: Factors of 24310

List of positive integer factors of 24310 that divides 24294 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24294 and 24310. The biggest common factor number is the GCF number.
So the greatest common factor 24294 and 24310 is 2.

Also check out the Least Common Multiple of 24294 and 24310