What is the Greatest Common Factor of 6105 and 6116?

Greatest common factor (GCF) of 6105 and 6116 is 11.

GCF(6105,6116) = 11

We will now calculate the prime factors of 6105 and 6116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6105 and 6116.

How to find the GCF of 6105 and 6116?

We will first find the prime factorization of 6105 and 6116. After we will calculate the factors of 6105 and 6116 and find the biggest common factor number .

Step-1: Prime Factorization of 6105

Prime factors of 6105 are 3, 5, 11, 37. Prime factorization of 6105 in exponential form is:

6105 = 3¹ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 6116

Prime factors of 6116 are 2, 11, 139. Prime factorization of 6116 in exponential form is:

6116 = 2² × 11¹ × 139¹

Step-3: Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035

Step-4: Factors of 6116

List of positive integer factors of 6116 that divides 6105 without a remainder.

1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6105 and 6116. The biggest common factor number is the GCF number.
So the greatest common factor 6105 and 6116 is 11.

Also check out the Least Common Multiple of 6105 and 6116