What is the Greatest Common Factor of 6783 and 6795?

Greatest common factor (GCF) of 6783 and 6795 is 3.

GCF(6783,6795) = 3

We will now calculate the prime factors of 6783 and 6795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6783 and 6795.

How to find the GCF of 6783 and 6795?

We will first find the prime factorization of 6783 and 6795. After we will calculate the factors of 6783 and 6795 and find the biggest common factor number .

Step-1: Prime Factorization of 6783

Prime factors of 6783 are 3, 7, 17, 19. Prime factorization of 6783 in exponential form is:

6783 = 3¹ × 7¹ × 17¹ × 19¹

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 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261

Step-4: Factors of 6795

List of positive integer factors of 6795 that divides 6783 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 6783 and 6795. The biggest common factor number is the GCF number.
So the greatest common factor 6783 and 6795 is 3.

Also check out the Least Common Multiple of 6783 and 6795