What is the Greatest Common Factor of 17170 and 17185?

Greatest common factor (GCF) of 17170 and 17185 is 5.

GCF(17170,17185) = 5

We will now calculate the prime factors of 17170 and 17185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17170 and 17185.

How to find the GCF of 17170 and 17185?

We will first find the prime factorization of 17170 and 17185. After we will calculate the factors of 17170 and 17185 and find the biggest common factor number .

Step-1: Prime Factorization of 17170

Prime factors of 17170 are 2, 5, 17, 101. Prime factorization of 17170 in exponential form is:

17170 = 2¹ × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 17185

Prime factors of 17185 are 5, 7, 491. Prime factorization of 17185 in exponential form is:

17185 = 5¹ × 7¹ × 491¹

Step-3: Factors of 17170

List of positive integer factors of 17170 that divides 17170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 101, 170, 202, 505, 1010, 1717, 3434, 8585

Step-4: Factors of 17185

List of positive integer factors of 17185 that divides 17170 without a remainder.

1, 5, 7, 35, 491, 2455, 3437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17170 and 17185. The biggest common factor number is the GCF number.
So the greatest common factor 17170 and 17185 is 5.

Also check out the Least Common Multiple of 17170 and 17185