What is the Greatest Common Factor of 13354 and 13358?

Greatest common factor (GCF) of 13354 and 13358 is 2.

GCF(13354,13358) = 2

We will now calculate the prime factors of 13354 and 13358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13354 and 13358.

How to find the GCF of 13354 and 13358?

We will first find the prime factorization of 13354 and 13358. After we will calculate the factors of 13354 and 13358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13358

Prime factors of 13358 are 2, 6679. Prime factorization of 13358 in exponential form is:

13358 = 2¹ × 6679¹

Step-3: Factors of 13354

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

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

Step-4: Factors of 13358

List of positive integer factors of 13358 that divides 13354 without a remainder.

1, 2, 6679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13354 and 13358. The biggest common factor number is the GCF number.
So the greatest common factor 13354 and 13358 is 2.

Also check out the Least Common Multiple of 13354 and 13358