What is the Greatest Common Factor of 67175 and 67185?

Greatest common factor (GCF) of 67175 and 67185 is 5.

GCF(67175,67185) = 5

We will now calculate the prime factors of 67175 and 67185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67175 and 67185.

How to find the GCF of 67175 and 67185?

We will first find the prime factorization of 67175 and 67185. After we will calculate the factors of 67175 and 67185 and find the biggest common factor number .

Step-1: Prime Factorization of 67175

Prime factors of 67175 are 5, 2687. Prime factorization of 67175 in exponential form is:

67175 = 5² × 2687¹

Step-2: Prime Factorization of 67185

Prime factors of 67185 are 3, 5, 1493. Prime factorization of 67185 in exponential form is:

67185 = 3² × 5¹ × 1493¹

Step-3: Factors of 67175

List of positive integer factors of 67175 that divides 67175 without a remainder.

1, 5, 25, 2687, 13435

Step-4: Factors of 67185

List of positive integer factors of 67185 that divides 67175 without a remainder.

1, 3, 5, 9, 15, 45, 1493, 4479, 7465, 13437, 22395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67175 and 67185. The biggest common factor number is the GCF number.
So the greatest common factor 67175 and 67185 is 5.

Also check out the Least Common Multiple of 67175 and 67185