What is the Greatest Common Factor of 6874 and 6889?

Greatest common factor (GCF) of 6874 and 6889 is 1.

GCF(6874,6889) = 1

We will now calculate the prime factors of 6874 and 6889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6874 and 6889.

How to find the GCF of 6874 and 6889?

We will first find the prime factorization of 6874 and 6889. After we will calculate the factors of 6874 and 6889 and find the biggest common factor number .

Step-1: Prime Factorization of 6874

Prime factors of 6874 are 2, 7, 491. Prime factorization of 6874 in exponential form is:

6874 = 2¹ × 7¹ × 491¹

Step-2: Prime Factorization of 6889

Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:

6889 = 83²

Step-3: Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437

Step-4: Factors of 6889

List of positive integer factors of 6889 that divides 6874 without a remainder.

1, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6874 and 6889. The biggest common factor number is the GCF number.
So the greatest common factor 6874 and 6889 is 1.

Also check out the Least Common Multiple of 6874 and 6889