What is the Greatest Common Factor of 15089 and 15103?

Greatest common factor (GCF) of 15089 and 15103 is 1.

GCF(15089,15103) = 1

We will now calculate the prime factors of 15089 and 15103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15089 and 15103.

How to find the GCF of 15089 and 15103?

We will first find the prime factorization of 15089 and 15103. After we will calculate the factors of 15089 and 15103 and find the biggest common factor number .

Step-1: Prime Factorization of 15089

Prime factors of 15089 are 79, 191. Prime factorization of 15089 in exponential form is:

15089 = 79¹ × 191¹

Step-2: Prime Factorization of 15103

Prime factors of 15103 are 11, 1373. Prime factorization of 15103 in exponential form is:

15103 = 11¹ × 1373¹

Step-3: Factors of 15089

List of positive integer factors of 15089 that divides 15089 without a remainder.

1, 79, 191

Step-4: Factors of 15103

List of positive integer factors of 15103 that divides 15089 without a remainder.

1, 11, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15089 and 15103. The biggest common factor number is the GCF number.
So the greatest common factor 15089 and 15103 is 1.

Also check out the Least Common Multiple of 15089 and 15103