What is the Greatest Common Factor of 33729 and 33738?

Greatest common factor (GCF) of 33729 and 33738 is 3.

GCF(33729,33738) = 3

We will now calculate the prime factors of 33729 and 33738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33729 and 33738.

How to find the GCF of 33729 and 33738?

We will first find the prime factorization of 33729 and 33738. After we will calculate the factors of 33729 and 33738 and find the biggest common factor number .

Step-1: Prime Factorization of 33729

Prime factors of 33729 are 3, 11243. Prime factorization of 33729 in exponential form is:

33729 = 3¹ × 11243¹

Step-2: Prime Factorization of 33738

Prime factors of 33738 are 2, 3, 5623. Prime factorization of 33738 in exponential form is:

33738 = 2¹ × 3¹ × 5623¹

Step-3: Factors of 33729

List of positive integer factors of 33729 that divides 33729 without a remainder.

1, 3, 11243

Step-4: Factors of 33738

List of positive integer factors of 33738 that divides 33729 without a remainder.

1, 2, 3, 6, 5623, 11246, 16869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33729 and 33738. The biggest common factor number is the GCF number.
So the greatest common factor 33729 and 33738 is 3.

Also check out the Least Common Multiple of 33729 and 33738