What is the Greatest Common Factor of 13538 and 13556?

Greatest common factor (GCF) of 13538 and 13556 is 2.

GCF(13538,13556) = 2

We will now calculate the prime factors of 13538 and 13556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13538 and 13556.

How to find the GCF of 13538 and 13556?

We will first find the prime factorization of 13538 and 13556. After we will calculate the factors of 13538 and 13556 and find the biggest common factor number .

Step-1: Prime Factorization of 13538

Prime factors of 13538 are 2, 7, 967. Prime factorization of 13538 in exponential form is:

13538 = 2¹ × 7¹ × 967¹

Step-2: Prime Factorization of 13556

Prime factors of 13556 are 2, 3389. Prime factorization of 13556 in exponential form is:

13556 = 2² × 3389¹

Step-3: Factors of 13538

List of positive integer factors of 13538 that divides 13538 without a remainder.

1, 2, 7, 14, 967, 1934, 6769

Step-4: Factors of 13556

List of positive integer factors of 13556 that divides 13538 without a remainder.

1, 2, 4, 3389, 6778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13538 and 13556. The biggest common factor number is the GCF number.
So the greatest common factor 13538 and 13556 is 2.

Also check out the Least Common Multiple of 13538 and 13556