What is the Greatest Common Factor of 24729 and 24744?

Greatest common factor (GCF) of 24729 and 24744 is 3.

GCF(24729,24744) = 3

We will now calculate the prime factors of 24729 and 24744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24729 and 24744.

How to find the GCF of 24729 and 24744?

We will first find the prime factorization of 24729 and 24744. After we will calculate the factors of 24729 and 24744 and find the biggest common factor number .

Step-1: Prime Factorization of 24729

Prime factors of 24729 are 3, 8243. Prime factorization of 24729 in exponential form is:

24729 = 3¹ × 8243¹

Step-2: Prime Factorization of 24744

Prime factors of 24744 are 2, 3, 1031. Prime factorization of 24744 in exponential form is:

24744 = 2³ × 3¹ × 1031¹

Step-3: Factors of 24729

List of positive integer factors of 24729 that divides 24729 without a remainder.

1, 3, 8243

Step-4: Factors of 24744

List of positive integer factors of 24744 that divides 24729 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1031, 2062, 3093, 4124, 6186, 8248, 12372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24729 and 24744. The biggest common factor number is the GCF number.
So the greatest common factor 24729 and 24744 is 3.

Also check out the Least Common Multiple of 24729 and 24744