What is the Greatest Common Factor of 13386 and 13402?

Greatest common factor (GCF) of 13386 and 13402 is 2.

GCF(13386,13402) = 2

We will now calculate the prime factors of 13386 and 13402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13386 and 13402.

How to find the GCF of 13386 and 13402?

We will first find the prime factorization of 13386 and 13402. After we will calculate the factors of 13386 and 13402 and find the biggest common factor number .

Step-1: Prime Factorization of 13386

Prime factors of 13386 are 2, 3, 23, 97. Prime factorization of 13386 in exponential form is:

13386 = 2¹ × 3¹ × 23¹ × 97¹

Step-2: Prime Factorization of 13402

Prime factors of 13402 are 2, 6701. Prime factorization of 13402 in exponential form is:

13402 = 2¹ × 6701¹

Step-3: Factors of 13386

List of positive integer factors of 13386 that divides 13386 without a remainder.

1, 2, 3, 6, 23, 46, 69, 97, 138, 194, 291, 582, 2231, 4462, 6693

Step-4: Factors of 13402

List of positive integer factors of 13402 that divides 13386 without a remainder.

1, 2, 6701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13386 and 13402. The biggest common factor number is the GCF number.
So the greatest common factor 13386 and 13402 is 2.

Also check out the Least Common Multiple of 13386 and 13402