What is the Greatest Common Factor of 13543 and 13552?

Greatest common factor (GCF) of 13543 and 13552 is 1.

GCF(13543,13552) = 1

We will now calculate the prime factors of 13543 and 13552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13543 and 13552.

How to find the GCF of 13543 and 13552?

We will first find the prime factorization of 13543 and 13552. After we will calculate the factors of 13543 and 13552 and find the biggest common factor number .

Step-1: Prime Factorization of 13543

Prime factors of 13543 are 29, 467. Prime factorization of 13543 in exponential form is:

13543 = 29¹ × 467¹

Step-2: Prime Factorization of 13552

Prime factors of 13552 are 2, 7, 11. Prime factorization of 13552 in exponential form is:

13552 = 2⁴ × 7¹ × 11²

Step-3: Factors of 13543

List of positive integer factors of 13543 that divides 13543 without a remainder.

1, 29, 467

Step-4: Factors of 13552

List of positive integer factors of 13552 that divides 13543 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 121, 154, 176, 242, 308, 484, 616, 847, 968, 1232, 1694, 1936, 3388, 6776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13543 and 13552. The biggest common factor number is the GCF number.
So the greatest common factor 13543 and 13552 is 1.

Also check out the Least Common Multiple of 13543 and 13552