What is the Greatest Common Factor of 6834 and 6849?

Greatest common factor (GCF) of 6834 and 6849 is 3.

GCF(6834,6849) = 3

We will now calculate the prime factors of 6834 and 6849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6834 and 6849.

How to find the GCF of 6834 and 6849?

We will first find the prime factorization of 6834 and 6849. After we will calculate the factors of 6834 and 6849 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 6849

Prime factors of 6849 are 3, 761. Prime factorization of 6849 in exponential form is:

6849 = 3² × 761¹

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 6849

List of positive integer factors of 6849 that divides 6834 without a remainder.

1, 3, 9, 761, 2283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6834 and 6849. The biggest common factor number is the GCF number.
So the greatest common factor 6834 and 6849 is 3.

Also check out the Least Common Multiple of 6834 and 6849