What is the Greatest Common Factor of 16380 and 16399?

Greatest common factor (GCF) of 16380 and 16399 is 1.

GCF(16380,16399) = 1

We will now calculate the prime factors of 16380 and 16399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16399.

How to find the GCF of 16380 and 16399?

We will first find the prime factorization of 16380 and 16399. After we will calculate the factors of 16380 and 16399 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 16399

Prime factors of 16399 are 23, 31. Prime factorization of 16399 in exponential form is:

16399 = 23² × 31¹

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 16399

List of positive integer factors of 16399 that divides 16380 without a remainder.

1, 23, 31, 529, 713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16399. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16399 is 1.

Also check out the Least Common Multiple of 16380 and 16399