What is the Greatest Common Factor of 6774 and 6784?

Greatest common factor (GCF) of 6774 and 6784 is 2.

GCF(6774,6784) = 2

We will now calculate the prime factors of 6774 and 6784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6774 and 6784.

How to find the GCF of 6774 and 6784?

We will first find the prime factorization of 6774 and 6784. After we will calculate the factors of 6774 and 6784 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6784

Prime factors of 6784 are 2, 53. Prime factorization of 6784 in exponential form is:

6784 = 2⁷ × 53¹

Step-3: Factors of 6774

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

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

Step-4: Factors of 6784

List of positive integer factors of 6784 that divides 6774 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6774 and 6784. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6784 is 2.

Also check out the Least Common Multiple of 6774 and 6784