What is the Greatest Common Factor of 16379 and 16390?

Greatest common factor (GCF) of 16379 and 16390 is 11.

GCF(16379,16390) = 11

We will now calculate the prime factors of 16379 and 16390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16379 and 16390.

How to find the GCF of 16379 and 16390?

We will first find the prime factorization of 16379 and 16390. After we will calculate the factors of 16379 and 16390 and find the biggest common factor number .

Step-1: Prime Factorization of 16379

Prime factors of 16379 are 11, 1489. Prime factorization of 16379 in exponential form is:

16379 = 11¹ × 1489¹

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 16379

List of positive integer factors of 16379 that divides 16379 without a remainder.

1, 11, 1489

Step-4: Factors of 16390

List of positive integer factors of 16390 that divides 16379 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 16379 and 16390. The biggest common factor number is the GCF number.
So the greatest common factor 16379 and 16390 is 11.

Also check out the Least Common Multiple of 16379 and 16390