What is the Greatest Common Factor of 24300 and 24308?

Greatest common factor (GCF) of 24300 and 24308 is 4.

GCF(24300,24308) = 4

We will now calculate the prime factors of 24300 and 24308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24300 and 24308.

How to find the GCF of 24300 and 24308?

We will first find the prime factorization of 24300 and 24308. After we will calculate the factors of 24300 and 24308 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 24308

Prime factors of 24308 are 2, 59, 103. Prime factorization of 24308 in exponential form is:

24308 = 2² × 59¹ × 103¹

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 24308

List of positive integer factors of 24308 that divides 24300 without a remainder.

1, 2, 4, 59, 103, 118, 206, 236, 412, 6077, 12154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24300 and 24308. The biggest common factor number is the GCF number.
So the greatest common factor 24300 and 24308 is 4.

Also check out the Least Common Multiple of 24300 and 24308