What is the Greatest Common Factor of 3105 and 3116?

Greatest common factor (GCF) of 3105 and 3116 is 1.

GCF(3105,3116) = 1

We will now calculate the prime factors of 3105 and 3116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3105 and 3116.

How to find the GCF of 3105 and 3116?

We will first find the prime factorization of 3105 and 3116. After we will calculate the factors of 3105 and 3116 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 3116

Prime factors of 3116 are 2, 19, 41. Prime factorization of 3116 in exponential form is:

3116 = 2² × 19¹ × 41¹

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 3116

List of positive integer factors of 3116 that divides 3105 without a remainder.

1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3105 and 3116. The biggest common factor number is the GCF number.
So the greatest common factor 3105 and 3116 is 1.

Also check out the Least Common Multiple of 3105 and 3116