What is the Greatest Common Factor of 24333 and 24348?

Greatest common factor (GCF) of 24333 and 24348 is 3.

GCF(24333,24348) = 3

We will now calculate the prime factors of 24333 and 24348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24333 and 24348.

How to find the GCF of 24333 and 24348?

We will first find the prime factorization of 24333 and 24348. After we will calculate the factors of 24333 and 24348 and find the biggest common factor number .

Step-1: Prime Factorization of 24333

Prime factors of 24333 are 3, 8111. Prime factorization of 24333 in exponential form is:

24333 = 3¹ × 8111¹

Step-2: Prime Factorization of 24348

Prime factors of 24348 are 2, 3, 2029. Prime factorization of 24348 in exponential form is:

24348 = 2² × 3¹ × 2029¹

Step-3: Factors of 24333

List of positive integer factors of 24333 that divides 24333 without a remainder.

1, 3, 8111

Step-4: Factors of 24348

List of positive integer factors of 24348 that divides 24333 without a remainder.

1, 2, 3, 4, 6, 12, 2029, 4058, 6087, 8116, 12174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24333 and 24348. The biggest common factor number is the GCF number.
So the greatest common factor 24333 and 24348 is 3.

Also check out the Least Common Multiple of 24333 and 24348