What is the Greatest Common Factor of 13335 and 13349?

Greatest common factor (GCF) of 13335 and 13349 is 7.

GCF(13335,13349) = 7

We will now calculate the prime factors of 13335 and 13349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13335 and 13349.

How to find the GCF of 13335 and 13349?

We will first find the prime factorization of 13335 and 13349. After we will calculate the factors of 13335 and 13349 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 13349

Prime factors of 13349 are 7, 1907. Prime factorization of 13349 in exponential form is:

13349 = 7¹ × 1907¹

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 13349

List of positive integer factors of 13349 that divides 13335 without a remainder.

1, 7, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13335 and 13349. The biggest common factor number is the GCF number.
So the greatest common factor 13335 and 13349 is 7.

Also check out the Least Common Multiple of 13335 and 13349