What is the Greatest Common Factor of 13300 and 13317?

Greatest common factor (GCF) of 13300 and 13317 is 1.

GCF(13300,13317) = 1

We will now calculate the prime factors of 13300 and 13317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13300 and 13317.

How to find the GCF of 13300 and 13317?

We will first find the prime factorization of 13300 and 13317. After we will calculate the factors of 13300 and 13317 and find the biggest common factor number .

Step-1: Prime Factorization of 13300

Prime factors of 13300 are 2, 5, 7, 19. Prime factorization of 13300 in exponential form is:

13300 = 2² × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 13317

Prime factors of 13317 are 3, 23, 193. Prime factorization of 13317 in exponential form is:

13317 = 3¹ × 23¹ × 193¹

Step-3: Factors of 13300

List of positive integer factors of 13300 that divides 13300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 50, 70, 76, 95, 100, 133, 140, 175, 190, 266, 350, 380, 475, 532, 665, 700, 950, 1330, 1900, 2660, 3325, 6650

Step-4: Factors of 13317

List of positive integer factors of 13317 that divides 13300 without a remainder.

1, 3, 23, 69, 193, 579, 4439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13300 and 13317. The biggest common factor number is the GCF number.
So the greatest common factor 13300 and 13317 is 1.

Also check out the Least Common Multiple of 13300 and 13317