What is the Greatest Common Factor of 13410 and 13429?

Greatest common factor (GCF) of 13410 and 13429 is 1.

GCF(13410,13429) = 1

We will now calculate the prime factors of 13410 and 13429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13410 and 13429.

How to find the GCF of 13410 and 13429?

We will first find the prime factorization of 13410 and 13429. After we will calculate the factors of 13410 and 13429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13429

Prime factors of 13429 are 13, 1033. Prime factorization of 13429 in exponential form is:

13429 = 13¹ × 1033¹

Step-3: Factors of 13410

List of positive integer factors of 13410 that divides 13410 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

Step-4: Factors of 13429

List of positive integer factors of 13429 that divides 13410 without a remainder.

1, 13, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13410 and 13429. The biggest common factor number is the GCF number.
So the greatest common factor 13410 and 13429 is 1.

Also check out the Least Common Multiple of 13410 and 13429