What is the Greatest Common Factor of 6786 and 6801?

Greatest common factor (GCF) of 6786 and 6801 is 3.

GCF(6786,6801) = 3

We will now calculate the prime factors of 6786 and 6801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6786 and 6801.

How to find the GCF of 6786 and 6801?

We will first find the prime factorization of 6786 and 6801. After we will calculate the factors of 6786 and 6801 and find the biggest common factor number .

Step-1: Prime Factorization of 6786

Prime factors of 6786 are 2, 3, 13, 29. Prime factorization of 6786 in exponential form is:

6786 = 2¹ × 3² × 13¹ × 29¹

Step-2: Prime Factorization of 6801

Prime factors of 6801 are 3, 2267. Prime factorization of 6801 in exponential form is:

6801 = 3¹ × 2267¹

Step-3: Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393

Step-4: Factors of 6801

List of positive integer factors of 6801 that divides 6786 without a remainder.

1, 3, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6786 and 6801. The biggest common factor number is the GCF number.
So the greatest common factor 6786 and 6801 is 3.

Also check out the Least Common Multiple of 6786 and 6801