What is the Greatest Common Factor of 24250 and 24258?

Greatest common factor (GCF) of 24250 and 24258 is 2.

GCF(24250,24258) = 2

We will now calculate the prime factors of 24250 and 24258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24250 and 24258.

How to find the GCF of 24250 and 24258?

We will first find the prime factorization of 24250 and 24258. After we will calculate the factors of 24250 and 24258 and find the biggest common factor number .

Step-1: Prime Factorization of 24250

Prime factors of 24250 are 2, 5, 97. Prime factorization of 24250 in exponential form is:

24250 = 2¹ × 5³ × 97¹

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 24250

List of positive integer factors of 24250 that divides 24250 without a remainder.

1, 2, 5, 10, 25, 50, 97, 125, 194, 250, 485, 970, 2425, 4850, 12125

Step-4: Factors of 24258

List of positive integer factors of 24258 that divides 24250 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 24250 and 24258. The biggest common factor number is the GCF number.
So the greatest common factor 24250 and 24258 is 2.

Also check out the Least Common Multiple of 24250 and 24258