What is the Greatest Common Factor of 6921 and 6936?

Greatest common factor (GCF) of 6921 and 6936 is 3.

GCF(6921,6936) = 3

We will now calculate the prime factors of 6921 and 6936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6921 and 6936.

How to find the GCF of 6921 and 6936?

We will first find the prime factorization of 6921 and 6936. After we will calculate the factors of 6921 and 6936 and find the biggest common factor number .

Step-1: Prime Factorization of 6921

Prime factors of 6921 are 3, 769. Prime factorization of 6921 in exponential form is:

6921 = 3² × 769¹

Step-2: Prime Factorization of 6936

Prime factors of 6936 are 2, 3, 17. Prime factorization of 6936 in exponential form is:

6936 = 2³ × 3¹ × 17²

Step-3: Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1, 3, 9, 769, 2307

Step-4: Factors of 6936

List of positive integer factors of 6936 that divides 6921 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6921 and 6936. The biggest common factor number is the GCF number.
So the greatest common factor 6921 and 6936 is 3.

Also check out the Least Common Multiple of 6921 and 6936