What is the Greatest Common Factor of 13300 and 13319?

Greatest common factor (GCF) of 13300 and 13319 is 19.

GCF(13300,13319) = 19

We will now calculate the prime factors of 13300 and 13319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13300 and 13319.

How to find the GCF of 13300 and 13319?

We will first find the prime factorization of 13300 and 13319. After we will calculate the factors of 13300 and 13319 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 13319

Prime factors of 13319 are 19, 701. Prime factorization of 13319 in exponential form is:

13319 = 19¹ × 701¹

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 13319

List of positive integer factors of 13319 that divides 13300 without a remainder.

1, 19, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13300 and 13319. The biggest common factor number is the GCF number.
So the greatest common factor 13300 and 13319 is 19.

Also check out the Least Common Multiple of 13300 and 13319