What is the Greatest Common Factor of 16380 and 16390?

Greatest common factor (GCF) of 16380 and 16390 is 10.

GCF(16380,16390) = 10

We will now calculate the prime factors of 16380 and 16390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16380 and 16390.

How to find the GCF of 16380 and 16390?

We will first find the prime factorization of 16380 and 16390. After we will calculate the factors of 16380 and 16390 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 16390

Prime factors of 16390 are 2, 5, 11, 149. Prime factorization of 16390 in exponential form is:

16390 = 2¹ × 5¹ × 11¹ × 149¹

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 16390

List of positive integer factors of 16390 that divides 16380 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 149, 298, 745, 1490, 1639, 3278, 8195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16380 and 16390. The biggest common factor number is the GCF number.
So the greatest common factor 16380 and 16390 is 10.

Also check out the Least Common Multiple of 16380 and 16390