What is the Greatest Common Factor of 6919 and 6936?

Greatest common factor (GCF) of 6919 and 6936 is 17.

GCF(6919,6936) = 17

We will now calculate the prime factors of 6919 and 6936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6919 and 6936.

How to find the GCF of 6919 and 6936?

We will first find the prime factorization of 6919 and 6936. After we will calculate the factors of 6919 and 6936 and find the biggest common factor number .

Step-1: Prime Factorization of 6919

Prime factors of 6919 are 11, 17, 37. Prime factorization of 6919 in exponential form is:

6919 = 11¹ × 17¹ × 37¹

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 6919

List of positive integer factors of 6919 that divides 6919 without a remainder.

1, 11, 17, 37, 187, 407, 629

Step-4: Factors of 6936

List of positive integer factors of 6936 that divides 6919 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 6919 and 6936. The biggest common factor number is the GCF number.
So the greatest common factor 6919 and 6936 is 17.

Also check out the Least Common Multiple of 6919 and 6936