What is the Greatest Common Factor of 6765 and 6774?

Greatest common factor (GCF) of 6765 and 6774 is 3.

GCF(6765,6774) = 3

We will now calculate the prime factors of 6765 and 6774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6765 and 6774.

How to find the GCF of 6765 and 6774?

We will first find the prime factorization of 6765 and 6774. After we will calculate the factors of 6765 and 6774 and find the biggest common factor number .

Step-1: Prime Factorization of 6765

Prime factors of 6765 are 3, 5, 11, 41. Prime factorization of 6765 in exponential form is:

6765 = 3¹ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 6774

Prime factors of 6774 are 2, 3, 1129. Prime factorization of 6774 in exponential form is:

6774 = 2¹ × 3¹ × 1129¹

Step-3: Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255

Step-4: Factors of 6774

List of positive integer factors of 6774 that divides 6765 without a remainder.

1, 2, 3, 6, 1129, 2258, 3387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6765 and 6774. The biggest common factor number is the GCF number.
So the greatest common factor 6765 and 6774 is 3.

Also check out the Least Common Multiple of 6765 and 6774