What is the Greatest Common Factor of 24258 and 24264?

Greatest common factor (GCF) of 24258 and 24264 is 6.

GCF(24258,24264) = 6

We will now calculate the prime factors of 24258 and 24264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24258 and 24264.

How to find the GCF of 24258 and 24264?

We will first find the prime factorization of 24258 and 24264. After we will calculate the factors of 24258 and 24264 and find the biggest common factor number .

Step-1: Prime Factorization of 24258

Prime factors of 24258 are 2, 3, 13, 311. Prime factorization of 24258 in exponential form is:

24258 = 2¹ × 3¹ × 13¹ × 311¹

Step-2: Prime Factorization of 24264

Prime factors of 24264 are 2, 3, 337. Prime factorization of 24264 in exponential form is:

24264 = 2³ × 3² × 337¹

Step-3: Factors of 24258

List of positive integer factors of 24258 that divides 24258 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 311, 622, 933, 1866, 4043, 8086, 12129

Step-4: Factors of 24264

List of positive integer factors of 24264 that divides 24258 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 6066, 8088, 12132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24258 and 24264. The biggest common factor number is the GCF number.
So the greatest common factor 24258 and 24264 is 6.

Also check out the Least Common Multiple of 24258 and 24264