What is the Greatest Common Factor of 13460 and 13466?

Greatest common factor (GCF) of 13460 and 13466 is 2.

GCF(13460,13466) = 2

We will now calculate the prime factors of 13460 and 13466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13460 and 13466.

How to find the GCF of 13460 and 13466?

We will first find the prime factorization of 13460 and 13466. After we will calculate the factors of 13460 and 13466 and find the biggest common factor number .

Step-1: Prime Factorization of 13460

Prime factors of 13460 are 2, 5, 673. Prime factorization of 13460 in exponential form is:

13460 = 2² × 5¹ × 673¹

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 13460

List of positive integer factors of 13460 that divides 13460 without a remainder.

1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730

Step-4: Factors of 13466

List of positive integer factors of 13466 that divides 13460 without a remainder.

1, 2, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13460 and 13466. The biggest common factor number is the GCF number.
So the greatest common factor 13460 and 13466 is 2.

Also check out the Least Common Multiple of 13460 and 13466