What is the Greatest Common Factor of 13466 and 13470?

Greatest common factor (GCF) of 13466 and 13470 is 2.

GCF(13466,13470) = 2

We will now calculate the prime factors of 13466 and 13470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13466 and 13470.

How to find the GCF of 13466 and 13470?

We will first find the prime factorization of 13466 and 13470. After we will calculate the factors of 13466 and 13470 and find the biggest common factor number .

Step-1: Prime Factorization of 13466

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

13466 = 2¹ × 6733¹

Step-2: Prime Factorization of 13470

Prime factors of 13470 are 2, 3, 5, 449. Prime factorization of 13470 in exponential form is:

13470 = 2¹ × 3¹ × 5¹ × 449¹

Step-3: Factors of 13466

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

1, 2, 6733

Step-4: Factors of 13470

List of positive integer factors of 13470 that divides 13466 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13466 and 13470. The biggest common factor number is the GCF number.
So the greatest common factor 13466 and 13470 is 2.

Also check out the Least Common Multiple of 13466 and 13470