What is the Greatest Common Factor of 6916 and 6926?

Greatest common factor (GCF) of 6916 and 6926 is 2.

GCF(6916,6926) = 2

We will now calculate the prime factors of 6916 and 6926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6916 and 6926.

How to find the GCF of 6916 and 6926?

We will first find the prime factorization of 6916 and 6926. After we will calculate the factors of 6916 and 6926 and find the biggest common factor number .

Step-1: Prime Factorization of 6916

Prime factors of 6916 are 2, 7, 13, 19. Prime factorization of 6916 in exponential form is:

6916 = 2² × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 6926

Prime factors of 6926 are 2, 3463. Prime factorization of 6926 in exponential form is:

6926 = 2¹ × 3463¹

Step-3: Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458

Step-4: Factors of 6926

List of positive integer factors of 6926 that divides 6916 without a remainder.

1, 2, 3463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6916 and 6926. The biggest common factor number is the GCF number.
So the greatest common factor 6916 and 6926 is 2.

Also check out the Least Common Multiple of 6916 and 6926