What is the Greatest Common Factor of 7170 and 7175?

Greatest common factor (GCF) of 7170 and 7175 is 5.

GCF(7170,7175) = 5

We will now calculate the prime factors of 7170 and 7175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7170 and 7175.

How to find the GCF of 7170 and 7175?

We will first find the prime factorization of 7170 and 7175. After we will calculate the factors of 7170 and 7175 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 7175

Prime factors of 7175 are 5, 7, 41. Prime factorization of 7175 in exponential form is:

7175 = 5² × 7¹ × 41¹

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 7175

List of positive integer factors of 7175 that divides 7170 without a remainder.

1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7170 and 7175. The biggest common factor number is the GCF number.
So the greatest common factor 7170 and 7175 is 5.

Also check out the Least Common Multiple of 7170 and 7175