What is the Greatest Common Factor of 13335 and 13341?

Greatest common factor (GCF) of 13335 and 13341 is 3.

GCF(13335,13341) = 3

We will now calculate the prime factors of 13335 and 13341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13335 and 13341.

How to find the GCF of 13335 and 13341?

We will first find the prime factorization of 13335 and 13341. After we will calculate the factors of 13335 and 13341 and find the biggest common factor number .

Step-1: Prime Factorization of 13335

Prime factors of 13335 are 3, 5, 7, 127. Prime factorization of 13335 in exponential form is:

13335 = 3¹ × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 13341

Prime factors of 13341 are 3, 4447. Prime factorization of 13341 in exponential form is:

13341 = 3¹ × 4447¹

Step-3: Factors of 13335

List of positive integer factors of 13335 that divides 13335 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 127, 381, 635, 889, 1905, 2667, 4445

Step-4: Factors of 13341

List of positive integer factors of 13341 that divides 13335 without a remainder.

1, 3, 4447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13335 and 13341. The biggest common factor number is the GCF number.
So the greatest common factor 13335 and 13341 is 3.

Also check out the Least Common Multiple of 13335 and 13341