What is the Greatest Common Factor of 6766 and 6772?

Greatest common factor (GCF) of 6766 and 6772 is 2.

GCF(6766,6772) = 2

We will now calculate the prime factors of 6766 and 6772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6766 and 6772.

How to find the GCF of 6766 and 6772?

We will first find the prime factorization of 6766 and 6772. After we will calculate the factors of 6766 and 6772 and find the biggest common factor number .

Step-1: Prime Factorization of 6766

Prime factors of 6766 are 2, 17, 199. Prime factorization of 6766 in exponential form is:

6766 = 2¹ × 17¹ × 199¹

Step-2: Prime Factorization of 6772

Prime factors of 6772 are 2, 1693. Prime factorization of 6772 in exponential form is:

6772 = 2² × 1693¹

Step-3: Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1, 2, 17, 34, 199, 398, 3383

Step-4: Factors of 6772

List of positive integer factors of 6772 that divides 6766 without a remainder.

1, 2, 4, 1693, 3386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6766 and 6772. The biggest common factor number is the GCF number.
So the greatest common factor 6766 and 6772 is 2.

Also check out the Least Common Multiple of 6766 and 6772