What is the Greatest Common Factor of 13538 and 13553?

Greatest common factor (GCF) of 13538 and 13553 is 1.

GCF(13538,13553) = 1

We will now calculate the prime factors of 13538 and 13553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13538 and 13553.

How to find the GCF of 13538 and 13553?

We will first find the prime factorization of 13538 and 13553. After we will calculate the factors of 13538 and 13553 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 13553

Prime factors of 13553 are 13553. Prime factorization of 13553 in exponential form is:

13553 = 13553¹

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 13553

List of positive integer factors of 13553 that divides 13538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13538 and 13553. The biggest common factor number is the GCF number.
So the greatest common factor 13538 and 13553 is 1.

Also check out the Least Common Multiple of 13538 and 13553