What is the Greatest Common Factor of 13480 and 13486?

Greatest common factor (GCF) of 13480 and 13486 is 2.

GCF(13480,13486) = 2

We will now calculate the prime factors of 13480 and 13486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13480 and 13486.

How to find the GCF of 13480 and 13486?

We will first find the prime factorization of 13480 and 13486. After we will calculate the factors of 13480 and 13486 and find the biggest common factor number .

Step-1: Prime Factorization of 13480

Prime factors of 13480 are 2, 5, 337. Prime factorization of 13480 in exponential form is:

13480 = 2³ × 5¹ × 337¹

Step-2: Prime Factorization of 13486

Prime factors of 13486 are 2, 11, 613. Prime factorization of 13486 in exponential form is:

13486 = 2¹ × 11¹ × 613¹

Step-3: Factors of 13480

List of positive integer factors of 13480 that divides 13480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740

Step-4: Factors of 13486

List of positive integer factors of 13486 that divides 13480 without a remainder.

1, 2, 11, 22, 613, 1226, 6743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13480 and 13486. The biggest common factor number is the GCF number.
So the greatest common factor 13480 and 13486 is 2.

Also check out the Least Common Multiple of 13480 and 13486