What is the Greatest Common Factor of 24258 and 24272?

Greatest common factor (GCF) of 24258 and 24272 is 2.

GCF(24258,24272) = 2

We will now calculate the prime factors of 24258 and 24272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24258 and 24272.

How to find the GCF of 24258 and 24272?

We will first find the prime factorization of 24258 and 24272. After we will calculate the factors of 24258 and 24272 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 24272

Prime factors of 24272 are 2, 37, 41. Prime factorization of 24272 in exponential form is:

24272 = 2⁴ × 37¹ × 41¹

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 24272

List of positive integer factors of 24272 that divides 24258 without a remainder.

1, 2, 4, 8, 16, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1517, 3034, 6068, 12136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24258 and 24272. The biggest common factor number is the GCF number.
So the greatest common factor 24258 and 24272 is 2.

Also check out the Least Common Multiple of 24258 and 24272