What is the Greatest Common Factor of 13468 and 13486?

Greatest common factor (GCF) of 13468 and 13486 is 2.

GCF(13468,13486) = 2

We will now calculate the prime factors of 13468 and 13486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13468 and 13486.

How to find the GCF of 13468 and 13486?

We will first find the prime factorization of 13468 and 13486. After we will calculate the factors of 13468 and 13486 and find the biggest common factor number .

Step-1: Prime Factorization of 13468

Prime factors of 13468 are 2, 7, 13, 37. Prime factorization of 13468 in exponential form is:

13468 = 2² × 7¹ × 13¹ × 37¹

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 13468

List of positive integer factors of 13468 that divides 13468 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1924, 3367, 6734

Step-4: Factors of 13486

List of positive integer factors of 13486 that divides 13468 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13468 and 13486. The biggest common factor number is the GCF number.
So the greatest common factor 13468 and 13486 is 2.

Also check out the Least Common Multiple of 13468 and 13486