What is the Greatest Common Factor of 16380 and 16393?

Greatest common factor (GCF) of 16380 and 16393 is 13.

GCF(16380,16393) = 13

We will now calculate the prime factors of 16380 and 16393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16393.

How to find the GCF of 16380 and 16393?

We will first find the prime factorization of 16380 and 16393. After we will calculate the factors of 16380 and 16393 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 16393

Prime factors of 16393 are 13, 97. Prime factorization of 16393 in exponential form is:

16393 = 13² × 97¹

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 16393

List of positive integer factors of 16393 that divides 16380 without a remainder.

1, 13, 97, 169, 1261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16393. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16393 is 13.

Also check out the Least Common Multiple of 16380 and 16393