What is the Greatest Common Factor of 6853 and 6867?

Greatest common factor (GCF) of 6853 and 6867 is 7.

GCF(6853,6867) = 7

We will now calculate the prime factors of 6853 and 6867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6853 and 6867.

How to find the GCF of 6853 and 6867?

We will first find the prime factorization of 6853 and 6867. After we will calculate the factors of 6853 and 6867 and find the biggest common factor number .

Step-1: Prime Factorization of 6853

Prime factors of 6853 are 7, 11, 89. Prime factorization of 6853 in exponential form is:

6853 = 7¹ × 11¹ × 89¹

Step-2: Prime Factorization of 6867

Prime factors of 6867 are 3, 7, 109. Prime factorization of 6867 in exponential form is:

6867 = 3² × 7¹ × 109¹

Step-3: Factors of 6853

List of positive integer factors of 6853 that divides 6853 without a remainder.

1, 7, 11, 77, 89, 623, 979

Step-4: Factors of 6867

List of positive integer factors of 6867 that divides 6853 without a remainder.

1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6853 and 6867. The biggest common factor number is the GCF number.
So the greatest common factor 6853 and 6867 is 7.

Also check out the Least Common Multiple of 6853 and 6867