What is the Greatest Common Factor of 7170 and 7185?

Greatest common factor (GCF) of 7170 and 7185 is 15.

GCF(7170,7185) = 15

We will now calculate the prime factors of 7170 and 7185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7170 and 7185.

How to find the GCF of 7170 and 7185?

We will first find the prime factorization of 7170 and 7185. After we will calculate the factors of 7170 and 7185 and find the biggest common factor number .

Step-1: Prime Factorization of 7170

Prime factors of 7170 are 2, 3, 5, 239. Prime factorization of 7170 in exponential form is:

7170 = 2¹ × 3¹ × 5¹ × 239¹

Step-2: Prime Factorization of 7185

Prime factors of 7185 are 3, 5, 479. Prime factorization of 7185 in exponential form is:

7185 = 3¹ × 5¹ × 479¹

Step-3: Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585

Step-4: Factors of 7185

List of positive integer factors of 7185 that divides 7170 without a remainder.

1, 3, 5, 15, 479, 1437, 2395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7170 and 7185. The biggest common factor number is the GCF number.
So the greatest common factor 7170 and 7185 is 15.

Also check out the Least Common Multiple of 7170 and 7185