What is the Greatest Common Factor of 3105 and 3115?

Greatest common factor (GCF) of 3105 and 3115 is 5.

GCF(3105,3115) = 5

We will now calculate the prime factors of 3105 and 3115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3105 and 3115.

How to find the GCF of 3105 and 3115?

We will first find the prime factorization of 3105 and 3115. After we will calculate the factors of 3105 and 3115 and find the biggest common factor number .

Step-1: Prime Factorization of 3105

Prime factors of 3105 are 3, 5, 23. Prime factorization of 3105 in exponential form is:

3105 = 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 3115

Prime factors of 3115 are 5, 7, 89. Prime factorization of 3115 in exponential form is:

3115 = 5¹ × 7¹ × 89¹

Step-3: Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035

Step-4: Factors of 3115

List of positive integer factors of 3115 that divides 3105 without a remainder.

1, 5, 7, 35, 89, 445, 623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3105 and 3115. The biggest common factor number is the GCF number.
So the greatest common factor 3105 and 3115 is 5.

Also check out the Least Common Multiple of 3105 and 3115