What is the Greatest Common Factor of 24300 and 24311?

Greatest common factor (GCF) of 24300 and 24311 is 1.

GCF(24300,24311) = 1

We will now calculate the prime factors of 24300 and 24311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24300 and 24311.

How to find the GCF of 24300 and 24311?

We will first find the prime factorization of 24300 and 24311. After we will calculate the factors of 24300 and 24311 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 24311

Prime factors of 24311 are 7, 23, 151. Prime factorization of 24311 in exponential form is:

24311 = 7¹ × 23¹ × 151¹

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 24311

List of positive integer factors of 24311 that divides 24300 without a remainder.

1, 7, 23, 151, 161, 1057, 3473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24300 and 24311. The biggest common factor number is the GCF number.
So the greatest common factor 24300 and 24311 is 1.

Also check out the Least Common Multiple of 24300 and 24311