What is the Greatest Common Factor of 6768 and 6774?

Greatest common factor (GCF) of 6768 and 6774 is 6.

GCF(6768,6774) = 6

We will now calculate the prime factors of 6768 and 6774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6768 and 6774.

How to find the GCF of 6768 and 6774?

We will first find the prime factorization of 6768 and 6774. After we will calculate the factors of 6768 and 6774 and find the biggest common factor number .

Step-1: Prime Factorization of 6768

Prime factors of 6768 are 2, 3, 47. Prime factorization of 6768 in exponential form is:

6768 = 2⁴ × 3² × 47¹

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 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384

Step-4: Factors of 6774

List of positive integer factors of 6774 that divides 6768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6768 and 6774. The biggest common factor number is the GCF number.
So the greatest common factor 6768 and 6774 is 6.

Also check out the Least Common Multiple of 6768 and 6774