What is the Greatest Common Factor of 24348 and 24363?

Greatest common factor (GCF) of 24348 and 24363 is 3.

GCF(24348,24363) = 3

We will now calculate the prime factors of 24348 and 24363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24348 and 24363.

How to find the GCF of 24348 and 24363?

We will first find the prime factorization of 24348 and 24363. After we will calculate the factors of 24348 and 24363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24363

Prime factors of 24363 are 3, 2707. Prime factorization of 24363 in exponential form is:

24363 = 3² × 2707¹

Step-3: Factors of 24348

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

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

Step-4: Factors of 24363

List of positive integer factors of 24363 that divides 24348 without a remainder.

1, 3, 9, 2707, 8121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24348 and 24363. The biggest common factor number is the GCF number.
So the greatest common factor 24348 and 24363 is 3.

Also check out the Least Common Multiple of 24348 and 24363