What is the Greatest Common Factor of 24300 and 24306?

Greatest common factor (GCF) of 24300 and 24306 is 6.

GCF(24300,24306) = 6

We will now calculate the prime factors of 24300 and 24306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24300 and 24306.

How to find the GCF of 24300 and 24306?

We will first find the prime factorization of 24300 and 24306. After we will calculate the factors of 24300 and 24306 and find the biggest common factor number .

Step-1: Prime Factorization of 24300

Prime factors of 24300 are 2, 3, 5. Prime factorization of 24300 in exponential form is:

24300 = 2² × 3⁵ × 5²

Step-2: Prime Factorization of 24306

Prime factors of 24306 are 2, 3, 4051. Prime factorization of 24306 in exponential form is:

24306 = 2¹ × 3¹ × 4051¹

Step-3: Factors of 24300

List of positive integer factors of 24300 that divides 24300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 243, 270, 300, 324, 405, 450, 486, 540, 675, 810, 900, 972, 1215, 1350, 1620, 2025, 2430, 2700, 4050, 4860, 6075, 8100, 12150

Step-4: Factors of 24306

List of positive integer factors of 24306 that divides 24300 without a remainder.

1, 2, 3, 6, 4051, 8102, 12153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24300 and 24306. The biggest common factor number is the GCF number.
So the greatest common factor 24300 and 24306 is 6.

Also check out the Least Common Multiple of 24300 and 24306