What is the Greatest Common Factor of 13284 and 13300?

Greatest common factor (GCF) of 13284 and 13300 is 4.

GCF(13284,13300) = 4

We will now calculate the prime factors of 13284 and 13300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13300.

How to find the GCF of 13284 and 13300?

We will first find the prime factorization of 13284 and 13300. After we will calculate the factors of 13284 and 13300 and find the biggest common factor number .

Step-1: Prime Factorization of 13284

Prime factors of 13284 are 2, 3, 41. Prime factorization of 13284 in exponential form is:

13284 = 2² × 3⁴ × 41¹

Step-2: 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-3: Factors of 13284

List of positive integer factors of 13284 that divides 13284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 81, 82, 108, 123, 162, 164, 246, 324, 369, 492, 738, 1107, 1476, 2214, 3321, 4428, 6642

Step-4: Factors of 13300

List of positive integer factors of 13300 that divides 13284 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13300. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13300 is 4.

Also check out the Least Common Multiple of 13284 and 13300