What is the Greatest Common Factor of 3101 and 3105?

Greatest common factor (GCF) of 3101 and 3105 is 1.

GCF(3101,3105) = 1

We will now calculate the prime factors of 3101 and 3105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3101 and 3105.

How to find the GCF of 3101 and 3105?

We will first find the prime factorization of 3101 and 3105. After we will calculate the factors of 3101 and 3105 and find the biggest common factor number .

Step-1: Prime Factorization of 3101

Prime factors of 3101 are 7, 443. Prime factorization of 3101 in exponential form is:

3101 = 7¹ × 443¹

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 3101

List of positive integer factors of 3101 that divides 3101 without a remainder.

1, 7, 443

Step-4: Factors of 3105

List of positive integer factors of 3105 that divides 3101 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 3101 and 3105. The biggest common factor number is the GCF number.
So the greatest common factor 3101 and 3105 is 1.

Also check out the Least Common Multiple of 3101 and 3105