What is the Greatest Common Factor of 24245 and 24258?

Greatest common factor (GCF) of 24245 and 24258 is 13.

GCF(24245,24258) = 13

We will now calculate the prime factors of 24245 and 24258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24245 and 24258.

How to find the GCF of 24245 and 24258?

We will first find the prime factorization of 24245 and 24258. After we will calculate the factors of 24245 and 24258 and find the biggest common factor number .

Step-1: Prime Factorization of 24245

Prime factors of 24245 are 5, 13, 373. Prime factorization of 24245 in exponential form is:

24245 = 5¹ × 13¹ × 373¹

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 24245

List of positive integer factors of 24245 that divides 24245 without a remainder.

1, 5, 13, 65, 373, 1865, 4849

Step-4: Factors of 24258

List of positive integer factors of 24258 that divides 24245 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 24245 and 24258. The biggest common factor number is the GCF number.
So the greatest common factor 24245 and 24258 is 13.

Also check out the Least Common Multiple of 24245 and 24258