What is the Greatest Common Factor of 6175 and 6195?

Greatest common factor (GCF) of 6175 and 6195 is 5.

GCF(6175,6195) = 5

We will now calculate the prime factors of 6175 and 6195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6175 and 6195.

How to find the GCF of 6175 and 6195?

We will first find the prime factorization of 6175 and 6195. After we will calculate the factors of 6175 and 6195 and find the biggest common factor number .

Step-1: Prime Factorization of 6175

Prime factors of 6175 are 5, 13, 19. Prime factorization of 6175 in exponential form is:

6175 = 5² × 13¹ × 19¹

Step-2: Prime Factorization of 6195

Prime factors of 6195 are 3, 5, 7, 59. Prime factorization of 6195 in exponential form is:

6195 = 3¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 6175

List of positive integer factors of 6175 that divides 6175 without a remainder.

1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235

Step-4: Factors of 6195

List of positive integer factors of 6195 that divides 6175 without a remainder.

1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6175 and 6195. The biggest common factor number is the GCF number.
So the greatest common factor 6175 and 6195 is 5.

Also check out the Least Common Multiple of 6175 and 6195