What is the Greatest Common Factor of 5389 and 5406?

Greatest common factor (GCF) of 5389 and 5406 is 17.

GCF(5389,5406) = 17

We will now calculate the prime factors of 5389 and 5406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5389 and 5406.

How to find the GCF of 5389 and 5406?

We will first find the prime factorization of 5389 and 5406. After we will calculate the factors of 5389 and 5406 and find the biggest common factor number .

Step-1: Prime Factorization of 5389

Prime factors of 5389 are 17, 317. Prime factorization of 5389 in exponential form is:

5389 = 17¹ × 317¹

Step-2: Prime Factorization of 5406

Prime factors of 5406 are 2, 3, 17, 53. Prime factorization of 5406 in exponential form is:

5406 = 2¹ × 3¹ × 17¹ × 53¹

Step-3: Factors of 5389

List of positive integer factors of 5389 that divides 5389 without a remainder.

1, 17, 317

Step-4: Factors of 5406

List of positive integer factors of 5406 that divides 5389 without a remainder.

1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5389 and 5406. The biggest common factor number is the GCF number.
So the greatest common factor 5389 and 5406 is 17.

Also check out the Least Common Multiple of 5389 and 5406