What is the Greatest Common Factor of 75175 and 75190?

Greatest common factor (GCF) of 75175 and 75190 is 5.

GCF(75175,75190) = 5

We will now calculate the prime factors of 75175 and 75190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75175 and 75190.

How to find the GCF of 75175 and 75190?

We will first find the prime factorization of 75175 and 75190. After we will calculate the factors of 75175 and 75190 and find the biggest common factor number .

Step-1: Prime Factorization of 75175

Prime factors of 75175 are 5, 31, 97. Prime factorization of 75175 in exponential form is:

75175 = 5² × 31¹ × 97¹

Step-2: Prime Factorization of 75190

Prime factors of 75190 are 2, 5, 73, 103. Prime factorization of 75190 in exponential form is:

75190 = 2¹ × 5¹ × 73¹ × 103¹

Step-3: Factors of 75175

List of positive integer factors of 75175 that divides 75175 without a remainder.

1, 5, 25, 31, 97, 155, 485, 775, 2425, 3007, 15035

Step-4: Factors of 75190

List of positive integer factors of 75190 that divides 75175 without a remainder.

1, 2, 5, 10, 73, 103, 146, 206, 365, 515, 730, 1030, 7519, 15038, 37595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75175 and 75190. The biggest common factor number is the GCF number.
So the greatest common factor 75175 and 75190 is 5.

Also check out the Least Common Multiple of 75175 and 75190