What is the Greatest Common Factor of 13833 and 13839?

Greatest common factor (GCF) of 13833 and 13839 is 3.

GCF(13833,13839) = 3

We will now calculate the prime factors of 13833 and 13839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13833 and 13839.

How to find the GCF of 13833 and 13839?

We will first find the prime factorization of 13833 and 13839. After we will calculate the factors of 13833 and 13839 and find the biggest common factor number .

Step-1: Prime Factorization of 13833

Prime factors of 13833 are 3, 29, 53. Prime factorization of 13833 in exponential form is:

13833 = 3² × 29¹ × 53¹

Step-2: Prime Factorization of 13839

Prime factors of 13839 are 3, 7, 659. Prime factorization of 13839 in exponential form is:

13839 = 3¹ × 7¹ × 659¹

Step-3: Factors of 13833

List of positive integer factors of 13833 that divides 13833 without a remainder.

1, 3, 9, 29, 53, 87, 159, 261, 477, 1537, 4611

Step-4: Factors of 13839

List of positive integer factors of 13839 that divides 13833 without a remainder.

1, 3, 7, 21, 659, 1977, 4613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13833 and 13839. The biggest common factor number is the GCF number.
So the greatest common factor 13833 and 13839 is 3.

Also check out the Least Common Multiple of 13833 and 13839