What is the Greatest Common Factor of 67175 and 67195?

Greatest common factor (GCF) of 67175 and 67195 is 5.

GCF(67175,67195) = 5

We will now calculate the prime factors of 67175 and 67195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67175 and 67195.

How to find the GCF of 67175 and 67195?

We will first find the prime factorization of 67175 and 67195. After we will calculate the factors of 67175 and 67195 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 67195

Prime factors of 67195 are 5, 89, 151. Prime factorization of 67195 in exponential form is:

67195 = 5¹ × 89¹ × 151¹

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 67195

List of positive integer factors of 67195 that divides 67175 without a remainder.

1, 5, 89, 151, 445, 755, 13439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67175 and 67195. The biggest common factor number is the GCF number.
So the greatest common factor 67175 and 67195 is 5.

Also check out the Least Common Multiple of 67175 and 67195