What is the Greatest Common Factor of 13344 and 13354?

Greatest common factor (GCF) of 13344 and 13354 is 2.

GCF(13344,13354) = 2

We will now calculate the prime factors of 13344 and 13354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13344 and 13354.

How to find the GCF of 13344 and 13354?

We will first find the prime factorization of 13344 and 13354. After we will calculate the factors of 13344 and 13354 and find the biggest common factor number .

Step-1: Prime Factorization of 13344

Prime factors of 13344 are 2, 3, 139. Prime factorization of 13344 in exponential form is:

13344 = 2⁵ × 3¹ × 139¹

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 13344

List of positive integer factors of 13344 that divides 13344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672

Step-4: Factors of 13354

List of positive integer factors of 13354 that divides 13344 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13344 and 13354. The biggest common factor number is the GCF number.
So the greatest common factor 13344 and 13354 is 2.

Also check out the Least Common Multiple of 13344 and 13354