What is the Greatest Common Factor of 5175 and 5195?

Greatest common factor (GCF) of 5175 and 5195 is 5.

GCF(5175,5195) = 5

We will now calculate the prime factors of 5175 and 5195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5175 and 5195.

How to find the GCF of 5175 and 5195?

We will first find the prime factorization of 5175 and 5195. After we will calculate the factors of 5175 and 5195 and find the biggest common factor number .

Step-1: Prime Factorization of 5175

Prime factors of 5175 are 3, 5, 23. Prime factorization of 5175 in exponential form is:

5175 = 3² × 5² × 23¹

Step-2: Prime Factorization of 5195

Prime factors of 5195 are 5, 1039. Prime factorization of 5195 in exponential form is:

5195 = 5¹ × 1039¹

Step-3: Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725

Step-4: Factors of 5195

List of positive integer factors of 5195 that divides 5175 without a remainder.

1, 5, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5175 and 5195. The biggest common factor number is the GCF number.
So the greatest common factor 5175 and 5195 is 5.

Also check out the Least Common Multiple of 5175 and 5195