What is the Greatest Common Factor of 24239 and 24258?

Greatest common factor (GCF) of 24239 and 24258 is 1.

GCF(24239,24258) = 1

We will now calculate the prime factors of 24239 and 24258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24239 and 24258.

How to find the GCF of 24239 and 24258?

We will first find the prime factorization of 24239 and 24258. After we will calculate the factors of 24239 and 24258 and find the biggest common factor number .

Step-1: Prime Factorization of 24239

Prime factors of 24239 are 24239. Prime factorization of 24239 in exponential form is:

24239 = 24239¹

Step-2: 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-3: Factors of 24239

List of positive integer factors of 24239 that divides 24239 without a remainder.

Step-4: Factors of 24258

List of positive integer factors of 24258 that divides 24239 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24239 and 24258. The biggest common factor number is the GCF number.
So the greatest common factor 24239 and 24258 is 1.

Also check out the Least Common Multiple of 24239 and 24258