What is the Greatest Common Factor of 15187 and 15197?

Greatest common factor (GCF) of 15187 and 15197 is 1.

GCF(15187,15197) = 1

We will now calculate the prime factors of 15187 and 15197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15187 and 15197.

How to find the GCF of 15187 and 15197?

We will first find the prime factorization of 15187 and 15197. After we will calculate the factors of 15187 and 15197 and find the biggest common factor number .

Step-1: Prime Factorization of 15187

Prime factors of 15187 are 15187. Prime factorization of 15187 in exponential form is:

15187 = 15187¹

Step-2: Prime Factorization of 15197

Prime factors of 15197 are 7, 13, 167. Prime factorization of 15197 in exponential form is:

15197 = 7¹ × 13¹ × 167¹

Step-3: Factors of 15187

List of positive integer factors of 15187 that divides 15187 without a remainder.

Step-4: Factors of 15197

List of positive integer factors of 15197 that divides 15187 without a remainder.

1, 7, 13, 91, 167, 1169, 2171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15187 and 15197. The biggest common factor number is the GCF number.
So the greatest common factor 15187 and 15197 is 1.

Also check out the Least Common Multiple of 15187 and 15197