What is the Greatest Common Factor of 6849 and 6857?

Greatest common factor (GCF) of 6849 and 6857 is 1.

GCF(6849,6857) = 1

We will now calculate the prime factors of 6849 and 6857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6849 and 6857.

How to find the GCF of 6849 and 6857?

We will first find the prime factorization of 6849 and 6857. After we will calculate the factors of 6849 and 6857 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 6857

Prime factors of 6857 are 6857. Prime factorization of 6857 in exponential form is:

6857 = 6857¹

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 6857

List of positive integer factors of 6857 that divides 6849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6849 and 6857. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6857 is 1.

Also check out the Least Common Multiple of 6849 and 6857