What is the Greatest Common Factor of 24258 and 24277?

Greatest common factor (GCF) of 24258 and 24277 is 1.

GCF(24258,24277) = 1

We will now calculate the prime factors of 24258 and 24277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24258 and 24277.

How to find the GCF of 24258 and 24277?

We will first find the prime factorization of 24258 and 24277. After we will calculate the factors of 24258 and 24277 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 24277

Prime factors of 24277 are 11, 2207. Prime factorization of 24277 in exponential form is:

24277 = 11¹ × 2207¹

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 24277

List of positive integer factors of 24277 that divides 24258 without a remainder.

1, 11, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24258 and 24277. The biggest common factor number is the GCF number.
So the greatest common factor 24258 and 24277 is 1.

Also check out the Least Common Multiple of 24258 and 24277