What is the Greatest Common Factor of 13400 and 13410?

Greatest common factor (GCF) of 13400 and 13410 is 10.

GCF(13400,13410) = 10

We will now calculate the prime factors of 13400 and 13410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13400 and 13410.

How to find the GCF of 13400 and 13410?

We will first find the prime factorization of 13400 and 13410. After we will calculate the factors of 13400 and 13410 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 13410

Prime factors of 13410 are 2, 3, 5, 149. Prime factorization of 13410 in exponential form is:

13410 = 2¹ × 3² × 5¹ × 149¹

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 13410

List of positive integer factors of 13410 that divides 13400 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 149, 298, 447, 745, 894, 1341, 1490, 2235, 2682, 4470, 6705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13400 and 13410. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13410 is 10.

Also check out the Least Common Multiple of 13400 and 13410