What is the Greatest Common Factor of 13400 and 13406?

Greatest common factor (GCF) of 13400 and 13406 is 2.

GCF(13400,13406) = 2

We will now calculate the prime factors of 13400 and 13406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13400 and 13406.

How to find the GCF of 13400 and 13406?

We will first find the prime factorization of 13400 and 13406. After we will calculate the factors of 13400 and 13406 and find the biggest common factor number .

Step-1: Prime Factorization of 13400

Prime factors of 13400 are 2, 5, 67. Prime factorization of 13400 in exponential form is:

13400 = 2³ × 5² × 67¹

Step-2: Prime Factorization of 13406

Prime factors of 13406 are 2, 6703. Prime factorization of 13406 in exponential form is:

13406 = 2¹ × 6703¹

Step-3: Factors of 13400

List of positive integer factors of 13400 that divides 13400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700

Step-4: Factors of 13406

List of positive integer factors of 13406 that divides 13400 without a remainder.

1, 2, 6703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13400 and 13406. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13406 is 2.

Also check out the Least Common Multiple of 13400 and 13406