What is the Greatest Common Factor of 24313 and 24319?

Greatest common factor (GCF) of 24313 and 24319 is 1.

GCF(24313,24319) = 1

We will now calculate the prime factors of 24313 and 24319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24313 and 24319.

How to find the GCF of 24313 and 24319?

We will first find the prime factorization of 24313 and 24319. After we will calculate the factors of 24313 and 24319 and find the biggest common factor number .

Step-1: Prime Factorization of 24313

Prime factors of 24313 are 41, 593. Prime factorization of 24313 in exponential form is:

24313 = 41¹ × 593¹

Step-2: Prime Factorization of 24319

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

24319 = 83¹ × 293¹

Step-3: Factors of 24313

List of positive integer factors of 24313 that divides 24313 without a remainder.

1, 41, 593

Step-4: Factors of 24319

List of positive integer factors of 24319 that divides 24313 without a remainder.

1, 83, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24313 and 24319. The biggest common factor number is the GCF number.
So the greatest common factor 24313 and 24319 is 1.

Also check out the Least Common Multiple of 24313 and 24319