What is the Greatest Common Factor of 13405 and 13410?

Greatest common factor (GCF) of 13405 and 13410 is 5.

GCF(13405,13410) = 5

We will now calculate the prime factors of 13405 and 13410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13405 and 13410.

How to find the GCF of 13405 and 13410?

We will first find the prime factorization of 13405 and 13410. After we will calculate the factors of 13405 and 13410 and find the biggest common factor number .

Step-1: Prime Factorization of 13405

Prime factors of 13405 are 5, 7, 383. Prime factorization of 13405 in exponential form is:

13405 = 5¹ × 7¹ × 383¹

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 13405

List of positive integer factors of 13405 that divides 13405 without a remainder.

1, 5, 7, 35, 383, 1915, 2681

Step-4: Factors of 13410

List of positive integer factors of 13410 that divides 13405 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 13405 and 13410. The biggest common factor number is the GCF number.
So the greatest common factor 13405 and 13410 is 5.

Also check out the Least Common Multiple of 13405 and 13410