What is the Greatest Common Factor of 3095 and 3105?

Greatest common factor (GCF) of 3095 and 3105 is 5.

GCF(3095,3105) = 5

We will now calculate the prime factors of 3095 and 3105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3095 and 3105.

How to find the GCF of 3095 and 3105?

We will first find the prime factorization of 3095 and 3105. After we will calculate the factors of 3095 and 3105 and find the biggest common factor number .

Step-1: Prime Factorization of 3095

Prime factors of 3095 are 5, 619. Prime factorization of 3095 in exponential form is:

3095 = 5¹ × 619¹

Step-2: 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-3: Factors of 3095

List of positive integer factors of 3095 that divides 3095 without a remainder.

1, 5, 619

Step-4: Factors of 3105

List of positive integer factors of 3105 that divides 3095 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3095 and 3105. The biggest common factor number is the GCF number.
So the greatest common factor 3095 and 3105 is 5.

Also check out the Least Common Multiple of 3095 and 3105