What is the Greatest Common Factor of 24258 and 24265?

Greatest common factor (GCF) of 24258 and 24265 is 1.

GCF(24258,24265) = 1

We will now calculate the prime factors of 24258 and 24265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24258 and 24265.

How to find the GCF of 24258 and 24265?

We will first find the prime factorization of 24258 and 24265. After we will calculate the factors of 24258 and 24265 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 24265

Prime factors of 24265 are 5, 23, 211. Prime factorization of 24265 in exponential form is:

24265 = 5¹ × 23¹ × 211¹

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 24265

List of positive integer factors of 24265 that divides 24258 without a remainder.

1, 5, 23, 115, 211, 1055, 4853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24258 and 24265. The biggest common factor number is the GCF number.
So the greatest common factor 24258 and 24265 is 1.

Also check out the Least Common Multiple of 24258 and 24265