What is the Greatest Common Factor of 16380 and 16392?

Greatest common factor (GCF) of 16380 and 16392 is 12.

GCF(16380,16392) = 12

We will now calculate the prime factors of 16380 and 16392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16392.

How to find the GCF of 16380 and 16392?

We will first find the prime factorization of 16380 and 16392. After we will calculate the factors of 16380 and 16392 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 16392

Prime factors of 16392 are 2, 3, 683. Prime factorization of 16392 in exponential form is:

16392 = 2³ × 3¹ × 683¹

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 16392

List of positive integer factors of 16392 that divides 16380 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 683, 1366, 2049, 2732, 4098, 5464, 8196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16392. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16392 is 12.

Also check out the Least Common Multiple of 16380 and 16392