What is the Greatest Common Factor of 6849 and 6854?

Greatest common factor (GCF) of 6849 and 6854 is 1.

GCF(6849,6854) = 1

We will now calculate the prime factors of 6849 and 6854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6849 and 6854.

How to find the GCF of 6849 and 6854?

We will first find the prime factorization of 6849 and 6854. After we will calculate the factors of 6849 and 6854 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 6854

Prime factors of 6854 are 2, 23, 149. Prime factorization of 6854 in exponential form is:

6854 = 2¹ × 23¹ × 149¹

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 6854

List of positive integer factors of 6854 that divides 6849 without a remainder.

1, 2, 23, 46, 149, 298, 3427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6849 and 6854. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6854 is 1.

Also check out the Least Common Multiple of 6849 and 6854