What is the Greatest Common Factor of 8170 and 8189?

Greatest common factor (GCF) of 8170 and 8189 is 19.

GCF(8170,8189) = 19

We will now calculate the prime factors of 8170 and 8189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8170 and 8189.

How to find the GCF of 8170 and 8189?

We will first find the prime factorization of 8170 and 8189. After we will calculate the factors of 8170 and 8189 and find the biggest common factor number .

Step-1: Prime Factorization of 8170

Prime factors of 8170 are 2, 5, 19, 43. Prime factorization of 8170 in exponential form is:

8170 = 2¹ × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 8189

Prime factors of 8189 are 19, 431. Prime factorization of 8189 in exponential form is:

8189 = 19¹ × 431¹

Step-3: Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085

Step-4: Factors of 8189

List of positive integer factors of 8189 that divides 8170 without a remainder.

1, 19, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8170 and 8189. The biggest common factor number is the GCF number.
So the greatest common factor 8170 and 8189 is 19.

Also check out the Least Common Multiple of 8170 and 8189