What is the Greatest Common Factor of 6849 and 6861?

Greatest common factor (GCF) of 6849 and 6861 is 3.

GCF(6849,6861) = 3

We will now calculate the prime factors of 6849 and 6861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6849 and 6861.

How to find the GCF of 6849 and 6861?

We will first find the prime factorization of 6849 and 6861. After we will calculate the factors of 6849 and 6861 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 6861

Prime factors of 6861 are 3, 2287. Prime factorization of 6861 in exponential form is:

6861 = 3¹ × 2287¹

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 6861

List of positive integer factors of 6861 that divides 6849 without a remainder.

1, 3, 2287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6849 and 6861. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6861 is 3.

Also check out the Least Common Multiple of 6849 and 6861