What is the Greatest Common Factor of 13330 and 13335?

Greatest common factor (GCF) of 13330 and 13335 is 5.

GCF(13330,13335) = 5

We will now calculate the prime factors of 13330 and 13335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13330 and 13335.

How to find the GCF of 13330 and 13335?

We will first find the prime factorization of 13330 and 13335. After we will calculate the factors of 13330 and 13335 and find the biggest common factor number .

Step-1: Prime Factorization of 13330

Prime factors of 13330 are 2, 5, 31, 43. Prime factorization of 13330 in exponential form is:

13330 = 2¹ × 5¹ × 31¹ × 43¹

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 13330

List of positive integer factors of 13330 that divides 13330 without a remainder.

1, 2, 5, 10, 31, 43, 62, 86, 155, 215, 310, 430, 1333, 2666, 6665

Step-4: Factors of 13335

List of positive integer factors of 13335 that divides 13330 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 13330 and 13335. The biggest common factor number is the GCF number.
So the greatest common factor 13330 and 13335 is 5.

Also check out the Least Common Multiple of 13330 and 13335