What is the Greatest Common Factor of 6834 and 6851?

Greatest common factor (GCF) of 6834 and 6851 is 17.

GCF(6834,6851) = 17

We will now calculate the prime factors of 6834 and 6851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6834 and 6851.

How to find the GCF of 6834 and 6851?

We will first find the prime factorization of 6834 and 6851. After we will calculate the factors of 6834 and 6851 and find the biggest common factor number .

Step-1: Prime Factorization of 6834

Prime factors of 6834 are 2, 3, 17, 67. Prime factorization of 6834 in exponential form is:

6834 = 2¹ × 3¹ × 17¹ × 67¹

Step-2: Prime Factorization of 6851

Prime factors of 6851 are 13, 17, 31. Prime factorization of 6851 in exponential form is:

6851 = 13¹ × 17¹ × 31¹

Step-3: Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417

Step-4: Factors of 6851

List of positive integer factors of 6851 that divides 6834 without a remainder.

1, 13, 17, 31, 221, 403, 527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6834 and 6851. The biggest common factor number is the GCF number.
So the greatest common factor 6834 and 6851 is 17.

Also check out the Least Common Multiple of 6834 and 6851