What is the Greatest Common Factor of 10389 and 10406?

Greatest common factor (GCF) of 10389 and 10406 is 1.

GCF(10389,10406) = 1

We will now calculate the prime factors of 10389 and 10406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10389 and 10406.

How to find the GCF of 10389 and 10406?

We will first find the prime factorization of 10389 and 10406. After we will calculate the factors of 10389 and 10406 and find the biggest common factor number .

Step-1: Prime Factorization of 10389

Prime factors of 10389 are 3, 3463. Prime factorization of 10389 in exponential form is:

10389 = 3¹ × 3463¹

Step-2: Prime Factorization of 10406

Prime factors of 10406 are 2, 11, 43. Prime factorization of 10406 in exponential form is:

10406 = 2¹ × 11² × 43¹

Step-3: Factors of 10389

List of positive integer factors of 10389 that divides 10389 without a remainder.

1, 3, 3463

Step-4: Factors of 10406

List of positive integer factors of 10406 that divides 10389 without a remainder.

1, 2, 11, 22, 43, 86, 121, 242, 473, 946, 5203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10389 and 10406. The biggest common factor number is the GCF number.
So the greatest common factor 10389 and 10406 is 1.

Also check out the Least Common Multiple of 10389 and 10406