What is the Greatest Common Factor of 24729 and 24738?

Greatest common factor (GCF) of 24729 and 24738 is 3.

GCF(24729,24738) = 3

We will now calculate the prime factors of 24729 and 24738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24729 and 24738.

How to find the GCF of 24729 and 24738?

We will first find the prime factorization of 24729 and 24738. After we will calculate the factors of 24729 and 24738 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 24738

Prime factors of 24738 are 2, 3, 7, 19, 31. Prime factorization of 24738 in exponential form is:

24738 = 2¹ × 3¹ × 7¹ × 19¹ × 31¹

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 24738

List of positive integer factors of 24738 that divides 24729 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 31, 38, 42, 57, 62, 93, 114, 133, 186, 217, 266, 399, 434, 589, 651, 798, 1178, 1302, 1767, 3534, 4123, 8246, 12369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24729 and 24738. The biggest common factor number is the GCF number.
So the greatest common factor 24729 and 24738 is 3.

Also check out the Least Common Multiple of 24729 and 24738