What is the Greatest Common Factor of 6798 and 6814?

Greatest common factor (GCF) of 6798 and 6814 is 2.

GCF(6798,6814) = 2

We will now calculate the prime factors of 6798 and 6814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6798 and 6814.

How to find the GCF of 6798 and 6814?

We will first find the prime factorization of 6798 and 6814. After we will calculate the factors of 6798 and 6814 and find the biggest common factor number .

Step-1: Prime Factorization of 6798

Prime factors of 6798 are 2, 3, 11, 103. Prime factorization of 6798 in exponential form is:

6798 = 2¹ × 3¹ × 11¹ × 103¹

Step-2: Prime Factorization of 6814

Prime factors of 6814 are 2, 3407. Prime factorization of 6814 in exponential form is:

6814 = 2¹ × 3407¹

Step-3: Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399

Step-4: Factors of 6814

List of positive integer factors of 6814 that divides 6798 without a remainder.

1, 2, 3407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6798 and 6814. The biggest common factor number is the GCF number.
So the greatest common factor 6798 and 6814 is 2.

Also check out the Least Common Multiple of 6798 and 6814