What is the Greatest Common Factor of 24315 and 24334?

Greatest common factor (GCF) of 24315 and 24334 is 1.

GCF(24315,24334) = 1

We will now calculate the prime factors of 24315 and 24334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24315 and 24334.

How to find the GCF of 24315 and 24334?

We will first find the prime factorization of 24315 and 24334. After we will calculate the factors of 24315 and 24334 and find the biggest common factor number .

Step-1: Prime Factorization of 24315

Prime factors of 24315 are 3, 5, 1621. Prime factorization of 24315 in exponential form is:

24315 = 3¹ × 5¹ × 1621¹

Step-2: Prime Factorization of 24334

Prime factors of 24334 are 2, 23. Prime factorization of 24334 in exponential form is:

24334 = 2¹ × 23³

Step-3: Factors of 24315

List of positive integer factors of 24315 that divides 24315 without a remainder.

1, 3, 5, 15, 1621, 4863, 8105

Step-4: Factors of 24334

List of positive integer factors of 24334 that divides 24315 without a remainder.

1, 2, 23, 46, 529, 1058, 12167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24315 and 24334. The biggest common factor number is the GCF number.
So the greatest common factor 24315 and 24334 is 1.

Also check out the Least Common Multiple of 24315 and 24334