What is the Greatest Common Factor of 8170 and 8185?

Greatest common factor (GCF) of 8170 and 8185 is 5.

GCF(8170,8185) = 5

We will now calculate the prime factors of 8170 and 8185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8170 and 8185.

How to find the GCF of 8170 and 8185?

We will first find the prime factorization of 8170 and 8185. After we will calculate the factors of 8170 and 8185 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 8185

Prime factors of 8185 are 5, 1637. Prime factorization of 8185 in exponential form is:

8185 = 5¹ × 1637¹

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 8185

List of positive integer factors of 8185 that divides 8170 without a remainder.

1, 5, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8170 and 8185. The biggest common factor number is the GCF number.
So the greatest common factor 8170 and 8185 is 5.

Also check out the Least Common Multiple of 8170 and 8185