What is the Greatest Common Factor of 6175 and 6185?

Greatest common factor (GCF) of 6175 and 6185 is 5.

GCF(6175,6185) = 5

We will now calculate the prime factors of 6175 and 6185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6175 and 6185.

How to find the GCF of 6175 and 6185?

We will first find the prime factorization of 6175 and 6185. After we will calculate the factors of 6175 and 6185 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 6185

Prime factors of 6185 are 5, 1237. Prime factorization of 6185 in exponential form is:

6185 = 5¹ × 1237¹

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 6185

List of positive integer factors of 6185 that divides 6175 without a remainder.

1, 5, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6175 and 6185. The biggest common factor number is the GCF number.
So the greatest common factor 6175 and 6185 is 5.

Also check out the Least Common Multiple of 6175 and 6185