What is the Greatest Common Factor of 16380 and 16395?

Greatest common factor (GCF) of 16380 and 16395 is 15.

GCF(16380,16395) = 15

We will now calculate the prime factors of 16380 and 16395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16395.

How to find the GCF of 16380 and 16395?

We will first find the prime factorization of 16380 and 16395. After we will calculate the factors of 16380 and 16395 and find the biggest common factor number .

Step-1: Prime Factorization of 16380

Prime factors of 16380 are 2, 3, 5, 7, 13. Prime factorization of 16380 in exponential form is:

16380 = 2² × 3² × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 16395

Prime factors of 16395 are 3, 5, 1093. Prime factorization of 16395 in exponential form is:

16395 = 3¹ × 5¹ × 1093¹

Step-3: Factors of 16380

List of positive integer factors of 16380 that divides 16380 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 18, 20, 21, 26, 28, 30, 35, 36, 39, 42, 45, 52, 60, 63, 65, 70, 78, 84, 90, 91, 105, 117, 126, 130, 140, 156, 180, 182, 195, 210, 234, 252, 260, 273, 315, 364, 390, 420, 455, 468, 546, 585, 630, 780, 819, 910, 1092, 1170, 1260, 1365, 1638, 1820, 2340, 2730, 3276, 4095, 5460, 8190

Step-4: Factors of 16395

List of positive integer factors of 16395 that divides 16380 without a remainder.

1, 3, 5, 15, 1093, 3279, 5465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16395. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16395 is 15.

Also check out the Least Common Multiple of 16380 and 16395