What is the Greatest Common Factor of 13559 and 13577?

Greatest common factor (GCF) of 13559 and 13577 is 1.

GCF(13559,13577) = 1

We will now calculate the prime factors of 13559 and 13577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13559 and 13577.

How to find the GCF of 13559 and 13577?

We will first find the prime factorization of 13559 and 13577. After we will calculate the factors of 13559 and 13577 and find the biggest common factor number .

Step-1: Prime Factorization of 13559

Prime factors of 13559 are 7, 13, 149. Prime factorization of 13559 in exponential form is:

13559 = 7¹ × 13¹ × 149¹

Step-2: Prime Factorization of 13577

Prime factors of 13577 are 13577. Prime factorization of 13577 in exponential form is:

13577 = 13577¹

Step-3: Factors of 13559

List of positive integer factors of 13559 that divides 13559 without a remainder.

1, 7, 13, 91, 149, 1043, 1937

Step-4: Factors of 13577

List of positive integer factors of 13577 that divides 13559 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13559 and 13577. The biggest common factor number is the GCF number.
So the greatest common factor 13559 and 13577 is 1.

Also check out the Least Common Multiple of 13559 and 13577