What is the Greatest Common Factor of 24300 and 24307?

Greatest common factor (GCF) of 24300 and 24307 is 1.

GCF(24300,24307) = 1

We will now calculate the prime factors of 24300 and 24307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24300 and 24307.

How to find the GCF of 24300 and 24307?

We will first find the prime factorization of 24300 and 24307. After we will calculate the factors of 24300 and 24307 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 24307

Prime factors of 24307 are 109, 223. Prime factorization of 24307 in exponential form is:

24307 = 109¹ × 223¹

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 24307

List of positive integer factors of 24307 that divides 24300 without a remainder.

1, 109, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24300 and 24307. The biggest common factor number is the GCF number.
So the greatest common factor 24300 and 24307 is 1.

Also check out the Least Common Multiple of 24300 and 24307