What is the Greatest Common Factor of 6854 and 6871?

Greatest common factor (GCF) of 6854 and 6871 is 1.

GCF(6854,6871) = 1

We will now calculate the prime factors of 6854 and 6871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6854 and 6871.

How to find the GCF of 6854 and 6871?

We will first find the prime factorization of 6854 and 6871. After we will calculate the factors of 6854 and 6871 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6871

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 6871¹

Step-3: Factors of 6854

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

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

Step-4: Factors of 6871

List of positive integer factors of 6871 that divides 6854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6854 and 6871. The biggest common factor number is the GCF number.
So the greatest common factor 6854 and 6871 is 1.

Also check out the Least Common Multiple of 6854 and 6871