What is the Greatest Common Factor of 6766 and 6782?

Greatest common factor (GCF) of 6766 and 6782 is 2.

GCF(6766,6782) = 2

We will now calculate the prime factors of 6766 and 6782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6766 and 6782.

How to find the GCF of 6766 and 6782?

We will first find the prime factorization of 6766 and 6782. After we will calculate the factors of 6766 and 6782 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 6782

Prime factors of 6782 are 2, 3391. Prime factorization of 6782 in exponential form is:

6782 = 2¹ × 3391¹

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 6782

List of positive integer factors of 6782 that divides 6766 without a remainder.

1, 2, 3391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6766 and 6782. The biggest common factor number is the GCF number.
So the greatest common factor 6766 and 6782 is 2.

Also check out the Least Common Multiple of 6766 and 6782