What is the Greatest Common Factor of 13316 and 13335?

Greatest common factor (GCF) of 13316 and 13335 is 1.

GCF(13316,13335) = 1

We will now calculate the prime factors of 13316 and 13335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13316 and 13335.

How to find the GCF of 13316 and 13335?

We will first find the prime factorization of 13316 and 13335. After we will calculate the factors of 13316 and 13335 and find the biggest common factor number .

Step-1: Prime Factorization of 13316

Prime factors of 13316 are 2, 3329. Prime factorization of 13316 in exponential form is:

13316 = 2² × 3329¹

Step-2: 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-3: Factors of 13316

List of positive integer factors of 13316 that divides 13316 without a remainder.

1, 2, 4, 3329, 6658

Step-4: Factors of 13335

List of positive integer factors of 13335 that divides 13316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13316 and 13335. The biggest common factor number is the GCF number.
So the greatest common factor 13316 and 13335 is 1.

Also check out the Least Common Multiple of 13316 and 13335