What is the Greatest Common Factor of 16380 and 16394?

Greatest common factor (GCF) of 16380 and 16394 is 14.

GCF(16380,16394) = 14

We will now calculate the prime factors of 16380 and 16394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16394.

How to find the GCF of 16380 and 16394?

We will first find the prime factorization of 16380 and 16394. After we will calculate the factors of 16380 and 16394 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 16394

Prime factors of 16394 are 2, 7, 1171. Prime factorization of 16394 in exponential form is:

16394 = 2¹ × 7¹ × 1171¹

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 16394

List of positive integer factors of 16394 that divides 16380 without a remainder.

1, 2, 7, 14, 1171, 2342, 8197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16394. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16394 is 14.

Also check out the Least Common Multiple of 16380 and 16394