What is the Greatest Common Factor of 6849 and 6866?

Greatest common factor (GCF) of 6849 and 6866 is 1.

GCF(6849,6866) = 1

We will now calculate the prime factors of 6849 and 6866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6849 and 6866.

How to find the GCF of 6849 and 6866?

We will first find the prime factorization of 6849 and 6866. After we will calculate the factors of 6849 and 6866 and find the biggest common factor number .

Step-1: Prime Factorization of 6849

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

6849 = 3² × 761¹

Step-2: Prime Factorization of 6866

Prime factors of 6866 are 2, 3433. Prime factorization of 6866 in exponential form is:

6866 = 2¹ × 3433¹

Step-3: Factors of 6849

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

1, 3, 9, 761, 2283

Step-4: Factors of 6866

List of positive integer factors of 6866 that divides 6849 without a remainder.

1, 2, 3433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6849 and 6866. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6866 is 1.

Also check out the Least Common Multiple of 6849 and 6866