What is the Greatest Common Factor of 13454 and 13466?

Greatest common factor (GCF) of 13454 and 13466 is 2.

GCF(13454,13466) = 2

We will now calculate the prime factors of 13454 and 13466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13454 and 13466.

How to find the GCF of 13454 and 13466?

We will first find the prime factorization of 13454 and 13466. After we will calculate the factors of 13454 and 13466 and find the biggest common factor number .

Step-1: Prime Factorization of 13454

Prime factors of 13454 are 2, 7, 31. Prime factorization of 13454 in exponential form is:

13454 = 2¹ × 7¹ × 31²

Step-2: Prime Factorization of 13466

Prime factors of 13466 are 2, 6733. Prime factorization of 13466 in exponential form is:

13466 = 2¹ × 6733¹

Step-3: Factors of 13454

List of positive integer factors of 13454 that divides 13454 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434, 961, 1922, 6727

Step-4: Factors of 13466

List of positive integer factors of 13466 that divides 13454 without a remainder.

1, 2, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13454 and 13466. The biggest common factor number is the GCF number.
So the greatest common factor 13454 and 13466 is 2.

Also check out the Least Common Multiple of 13454 and 13466