What is the Greatest Common Factor of 13446 and 13454?

Greatest common factor (GCF) of 13446 and 13454 is 2.

GCF(13446,13454) = 2

We will now calculate the prime factors of 13446 and 13454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13446 and 13454.

How to find the GCF of 13446 and 13454?

We will first find the prime factorization of 13446 and 13454. After we will calculate the factors of 13446 and 13454 and find the biggest common factor number .

Step-1: Prime Factorization of 13446

Prime factors of 13446 are 2, 3, 83. Prime factorization of 13446 in exponential form is:

13446 = 2¹ × 3⁴ × 83¹

Step-2: 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-3: Factors of 13446

List of positive integer factors of 13446 that divides 13446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723

Step-4: Factors of 13454

List of positive integer factors of 13454 that divides 13446 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13446 and 13454. The biggest common factor number is the GCF number.
So the greatest common factor 13446 and 13454 is 2.

Also check out the Least Common Multiple of 13446 and 13454