What is the Greatest Common Factor of 6765 and 6776?

Greatest common factor (GCF) of 6765 and 6776 is 11.

GCF(6765,6776) = 11

We will now calculate the prime factors of 6765 and 6776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6765 and 6776.

How to find the GCF of 6765 and 6776?

We will first find the prime factorization of 6765 and 6776. After we will calculate the factors of 6765 and 6776 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 6776

Prime factors of 6776 are 2, 7, 11. Prime factorization of 6776 in exponential form is:

6776 = 2³ × 7¹ × 11²

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 6776

List of positive integer factors of 6776 that divides 6765 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6765 and 6776. The biggest common factor number is the GCF number.
So the greatest common factor 6765 and 6776 is 11.

Also check out the Least Common Multiple of 6765 and 6776