What is the Greatest Common Factor of 15589 and 15607?

Greatest common factor (GCF) of 15589 and 15607 is 1.

GCF(15589,15607) = 1

We will now calculate the prime factors of 15589 and 15607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15589 and 15607.

How to find the GCF of 15589 and 15607?

We will first find the prime factorization of 15589 and 15607. After we will calculate the factors of 15589 and 15607 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 15607

Prime factors of 15607 are 15607. Prime factorization of 15607 in exponential form is:

15607 = 15607¹

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 15607

List of positive integer factors of 15607 that divides 15589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15589 and 15607. The biggest common factor number is the GCF number.
So the greatest common factor 15589 and 15607 is 1.

Also check out the Least Common Multiple of 15589 and 15607