What is the Greatest Common Factor of 16380 and 16396?

Greatest common factor (GCF) of 16380 and 16396 is 4.

GCF(16380,16396) = 4

We will now calculate the prime factors of 16380 and 16396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16396.

How to find the GCF of 16380 and 16396?

We will first find the prime factorization of 16380 and 16396. After we will calculate the factors of 16380 and 16396 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 16396

Prime factors of 16396 are 2, 4099. Prime factorization of 16396 in exponential form is:

16396 = 2² × 4099¹

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 16396

List of positive integer factors of 16396 that divides 16380 without a remainder.

1, 2, 4, 4099, 8198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16396. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16396 is 4.

Also check out the Least Common Multiple of 16380 and 16396