What is the Greatest Common Factor of 24258 and 24271?

Greatest common factor (GCF) of 24258 and 24271 is 13.

GCF(24258,24271) = 13

We will now calculate the prime factors of 24258 and 24271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24258 and 24271.

How to find the GCF of 24258 and 24271?

We will first find the prime factorization of 24258 and 24271. After we will calculate the factors of 24258 and 24271 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 24271

Prime factors of 24271 are 13, 1867. Prime factorization of 24271 in exponential form is:

24271 = 13¹ × 1867¹

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 24271

List of positive integer factors of 24271 that divides 24258 without a remainder.

1, 13, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24258 and 24271. The biggest common factor number is the GCF number.
So the greatest common factor 24258 and 24271 is 13.

Also check out the Least Common Multiple of 24258 and 24271