What is the Greatest Common Factor of 24319 and 24331?

Greatest common factor (GCF) of 24319 and 24331 is 1.

GCF(24319,24331) = 1

We will now calculate the prime factors of 24319 and 24331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24319 and 24331.

How to find the GCF of 24319 and 24331?

We will first find the prime factorization of 24319 and 24331. After we will calculate the factors of 24319 and 24331 and find the biggest common factor number .

Step-1: Prime Factorization of 24319

Prime factors of 24319 are 83, 293. Prime factorization of 24319 in exponential form is:

24319 = 83¹ × 293¹

Step-2: Prime Factorization of 24331

Prime factors of 24331 are 29, 839. Prime factorization of 24331 in exponential form is:

24331 = 29¹ × 839¹

Step-3: Factors of 24319

List of positive integer factors of 24319 that divides 24319 without a remainder.

1, 83, 293

Step-4: Factors of 24331

List of positive integer factors of 24331 that divides 24319 without a remainder.

1, 29, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24319 and 24331. The biggest common factor number is the GCF number.
So the greatest common factor 24319 and 24331 is 1.

Also check out the Least Common Multiple of 24319 and 24331