What is the Greatest Common Factor of 6789 and 6795?

Greatest common factor (GCF) of 6789 and 6795 is 3.

GCF(6789,6795) = 3

We will now calculate the prime factors of 6789 and 6795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6789 and 6795.

How to find the GCF of 6789 and 6795?

We will first find the prime factorization of 6789 and 6795. After we will calculate the factors of 6789 and 6795 and find the biggest common factor number .

Step-1: Prime Factorization of 6789

Prime factors of 6789 are 3, 31, 73. Prime factorization of 6789 in exponential form is:

6789 = 3¹ × 31¹ × 73¹

Step-2: Prime Factorization of 6795

Prime factors of 6795 are 3, 5, 151. Prime factorization of 6795 in exponential form is:

6795 = 3² × 5¹ × 151¹

Step-3: Factors of 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1, 3, 31, 73, 93, 219, 2263

Step-4: Factors of 6795

List of positive integer factors of 6795 that divides 6789 without a remainder.

1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6789 and 6795. The biggest common factor number is the GCF number.
So the greatest common factor 6789 and 6795 is 3.

Also check out the Least Common Multiple of 6789 and 6795