What is the Greatest Common Factor of 24663 and 24681?

Greatest common factor (GCF) of 24663 and 24681 is 3.

GCF(24663,24681) = 3

We will now calculate the prime factors of 24663 and 24681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24663 and 24681.

How to find the GCF of 24663 and 24681?

We will first find the prime factorization of 24663 and 24681. After we will calculate the factors of 24663 and 24681 and find the biggest common factor number .

Step-1: Prime Factorization of 24663

Prime factors of 24663 are 3, 8221. Prime factorization of 24663 in exponential form is:

24663 = 3¹ × 8221¹

Step-2: Prime Factorization of 24681

Prime factors of 24681 are 3, 19, 433. Prime factorization of 24681 in exponential form is:

24681 = 3¹ × 19¹ × 433¹

Step-3: Factors of 24663

List of positive integer factors of 24663 that divides 24663 without a remainder.

1, 3, 8221

Step-4: Factors of 24681

List of positive integer factors of 24681 that divides 24663 without a remainder.

1, 3, 19, 57, 433, 1299, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24663 and 24681. The biggest common factor number is the GCF number.
So the greatest common factor 24663 and 24681 is 3.

Also check out the Least Common Multiple of 24663 and 24681