What is the Greatest Common Factor of 24319 and 24328?

Greatest common factor (GCF) of 24319 and 24328 is 1.

GCF(24319,24328) = 1

We will now calculate the prime factors of 24319 and 24328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24319 and 24328.

How to find the GCF of 24319 and 24328?

We will first find the prime factorization of 24319 and 24328. After we will calculate the factors of 24319 and 24328 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 24328

Prime factors of 24328 are 2, 3041. Prime factorization of 24328 in exponential form is:

24328 = 2³ × 3041¹

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 24328

List of positive integer factors of 24328 that divides 24319 without a remainder.

1, 2, 4, 8, 3041, 6082, 12164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24319 and 24328. The biggest common factor number is the GCF number.
So the greatest common factor 24319 and 24328 is 1.

Also check out the Least Common Multiple of 24319 and 24328