What is the Greatest Common Factor of 3175 and 3195?

Greatest common factor (GCF) of 3175 and 3195 is 5.

GCF(3175,3195) = 5

We will now calculate the prime factors of 3175 and 3195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3175 and 3195.

How to find the GCF of 3175 and 3195?

We will first find the prime factorization of 3175 and 3195. After we will calculate the factors of 3175 and 3195 and find the biggest common factor number .

Step-1: Prime Factorization of 3175

Prime factors of 3175 are 5, 127. Prime factorization of 3175 in exponential form is:

3175 = 5² × 127¹

Step-2: Prime Factorization of 3195

Prime factors of 3195 are 3, 5, 71. Prime factorization of 3195 in exponential form is:

3195 = 3² × 5¹ × 71¹

Step-3: Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1, 5, 25, 127, 635

Step-4: Factors of 3195

List of positive integer factors of 3195 that divides 3175 without a remainder.

1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3175 and 3195. The biggest common factor number is the GCF number.
So the greatest common factor 3175 and 3195 is 5.

Also check out the Least Common Multiple of 3175 and 3195