What is the Greatest Common Factor of 13340 and 13354?

Greatest common factor (GCF) of 13340 and 13354 is 2.

GCF(13340,13354) = 2

We will now calculate the prime factors of 13340 and 13354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13340 and 13354.

How to find the GCF of 13340 and 13354?

We will first find the prime factorization of 13340 and 13354. After we will calculate the factors of 13340 and 13354 and find the biggest common factor number .

Step-1: Prime Factorization of 13340

Prime factors of 13340 are 2, 5, 23, 29. Prime factorization of 13340 in exponential form is:

13340 = 2² × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 13354

Prime factors of 13354 are 2, 11, 607. Prime factorization of 13354 in exponential form is:

13354 = 2¹ × 11¹ × 607¹

Step-3: Factors of 13340

List of positive integer factors of 13340 that divides 13340 without a remainder.

1, 2, 4, 5, 10, 20, 23, 29, 46, 58, 92, 115, 116, 145, 230, 290, 460, 580, 667, 1334, 2668, 3335, 6670

Step-4: Factors of 13354

List of positive integer factors of 13354 that divides 13340 without a remainder.

1, 2, 11, 22, 607, 1214, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13340 and 13354. The biggest common factor number is the GCF number.
So the greatest common factor 13340 and 13354 is 2.

Also check out the Least Common Multiple of 13340 and 13354