What is the Greatest Common Factor of 8170 and 8181?

Greatest common factor (GCF) of 8170 and 8181 is 1.

GCF(8170,8181) = 1

We will now calculate the prime factors of 8170 and 8181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8170 and 8181.

How to find the GCF of 8170 and 8181?

We will first find the prime factorization of 8170 and 8181. After we will calculate the factors of 8170 and 8181 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 8181

Prime factors of 8181 are 3, 101. Prime factorization of 8181 in exponential form is:

8181 = 3⁴ × 101¹

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 8181

List of positive integer factors of 8181 that divides 8170 without a remainder.

1, 3, 9, 27, 81, 101, 303, 909, 2727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8170 and 8181. The biggest common factor number is the GCF number.
So the greatest common factor 8170 and 8181 is 1.

Also check out the Least Common Multiple of 8170 and 8181