What is the Greatest Common Factor of 6769 and 6776?

Greatest common factor (GCF) of 6769 and 6776 is 7.

GCF(6769,6776) = 7

We will now calculate the prime factors of 6769 and 6776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6769 and 6776.

How to find the GCF of 6769 and 6776?

We will first find the prime factorization of 6769 and 6776. After we will calculate the factors of 6769 and 6776 and find the biggest common factor number .

Step-1: Prime Factorization of 6769

Prime factors of 6769 are 7, 967. Prime factorization of 6769 in exponential form is:

6769 = 7¹ × 967¹

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 6769

List of positive integer factors of 6769 that divides 6769 without a remainder.

1, 7, 967

Step-4: Factors of 6776

List of positive integer factors of 6776 that divides 6769 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 6769 and 6776. The biggest common factor number is the GCF number.
So the greatest common factor 6769 and 6776 is 7.

Also check out the Least Common Multiple of 6769 and 6776