What is the Greatest Common Factor of 15544 and 15559?

Greatest common factor (GCF) of 15544 and 15559 is 1.

GCF(15544,15559) = 1

We will now calculate the prime factors of 15544 and 15559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15544 and 15559.

How to find the GCF of 15544 and 15559?

We will first find the prime factorization of 15544 and 15559. After we will calculate the factors of 15544 and 15559 and find the biggest common factor number .

Step-1: Prime Factorization of 15544

Prime factors of 15544 are 2, 29, 67. Prime factorization of 15544 in exponential form is:

15544 = 2³ × 29¹ × 67¹

Step-2: Prime Factorization of 15559

Prime factors of 15559 are 15559. Prime factorization of 15559 in exponential form is:

15559 = 15559¹

Step-3: Factors of 15544

List of positive integer factors of 15544 that divides 15544 without a remainder.

1, 2, 4, 8, 29, 58, 67, 116, 134, 232, 268, 536, 1943, 3886, 7772

Step-4: Factors of 15559

List of positive integer factors of 15559 that divides 15544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15544 and 15559. The biggest common factor number is the GCF number.
So the greatest common factor 15544 and 15559 is 1.

Also check out the Least Common Multiple of 15544 and 15559