What is the Greatest Common Factor of 6783 and 6801?

Greatest common factor (GCF) of 6783 and 6801 is 3.

GCF(6783,6801) = 3

We will now calculate the prime factors of 6783 and 6801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6783 and 6801.

How to find the GCF of 6783 and 6801?

We will first find the prime factorization of 6783 and 6801. After we will calculate the factors of 6783 and 6801 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 6801

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

6801 = 3¹ × 2267¹

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 6801

List of positive integer factors of 6801 that divides 6783 without a remainder.

1, 3, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6783 and 6801. The biggest common factor number is the GCF number.
So the greatest common factor 6783 and 6801 is 3.

Also check out the Least Common Multiple of 6783 and 6801