What is the Greatest Common Factor of 15589 and 15609?

Greatest common factor (GCF) of 15589 and 15609 is 1.

GCF(15589,15609) = 1

We will now calculate the prime factors of 15589 and 15609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15589 and 15609.

How to find the GCF of 15589 and 15609?

We will first find the prime factorization of 15589 and 15609. After we will calculate the factors of 15589 and 15609 and find the biggest common factor number .

Step-1: Prime Factorization of 15589

Prime factors of 15589 are 7, 17, 131. Prime factorization of 15589 in exponential form is:

15589 = 7¹ × 17¹ × 131¹

Step-2: Prime Factorization of 15609

Prime factors of 15609 are 3, 11, 43. Prime factorization of 15609 in exponential form is:

15609 = 3¹ × 11² × 43¹

Step-3: Factors of 15589

List of positive integer factors of 15589 that divides 15589 without a remainder.

1, 7, 17, 119, 131, 917, 2227

Step-4: Factors of 15609

List of positive integer factors of 15609 that divides 15589 without a remainder.

1, 3, 11, 33, 43, 121, 129, 363, 473, 1419, 5203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15589 and 15609. The biggest common factor number is the GCF number.
So the greatest common factor 15589 and 15609 is 1.

Also check out the Least Common Multiple of 15589 and 15609