What is the Greatest Common Factor of 6094 and 6105?

Greatest common factor (GCF) of 6094 and 6105 is 11.

GCF(6094,6105) = 11

We will now calculate the prime factors of 6094 and 6105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6094 and 6105.

How to find the GCF of 6094 and 6105?

We will first find the prime factorization of 6094 and 6105. After we will calculate the factors of 6094 and 6105 and find the biggest common factor number .

Step-1: Prime Factorization of 6094

Prime factors of 6094 are 2, 11, 277. Prime factorization of 6094 in exponential form is:

6094 = 2¹ × 11¹ × 277¹

Step-2: 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-3: Factors of 6094

List of positive integer factors of 6094 that divides 6094 without a remainder.

1, 2, 11, 22, 277, 554, 3047

Step-4: Factors of 6105

List of positive integer factors of 6105 that divides 6094 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6094 and 6105. The biggest common factor number is the GCF number.
So the greatest common factor 6094 and 6105 is 11.

Also check out the Least Common Multiple of 6094 and 6105