What is the Greatest Common Factor of 24594 and 24600?

Greatest common factor (GCF) of 24594 and 24600 is 6.

GCF(24594,24600) = 6

We will now calculate the prime factors of 24594 and 24600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24594 and 24600.

How to find the GCF of 24594 and 24600?

We will first find the prime factorization of 24594 and 24600. After we will calculate the factors of 24594 and 24600 and find the biggest common factor number .

Step-1: Prime Factorization of 24594

Prime factors of 24594 are 2, 3, 4099. Prime factorization of 24594 in exponential form is:

24594 = 2¹ × 3¹ × 4099¹

Step-2: Prime Factorization of 24600

Prime factors of 24600 are 2, 3, 5, 41. Prime factorization of 24600 in exponential form is:

24600 = 2³ × 3¹ × 5² × 41¹

Step-3: Factors of 24594

List of positive integer factors of 24594 that divides 24594 without a remainder.

1, 2, 3, 6, 4099, 8198, 12297

Step-4: Factors of 24600

List of positive integer factors of 24600 that divides 24594 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 41, 50, 60, 75, 82, 100, 120, 123, 150, 164, 200, 205, 246, 300, 328, 410, 492, 600, 615, 820, 984, 1025, 1230, 1640, 2050, 2460, 3075, 4100, 4920, 6150, 8200, 12300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24594 and 24600. The biggest common factor number is the GCF number.
So the greatest common factor 24594 and 24600 is 6.

Also check out the Least Common Multiple of 24594 and 24600