What is the Greatest Common Factor of 6928 and 6940?

Greatest common factor (GCF) of 6928 and 6940 is 4.

GCF(6928,6940) = 4

We will now calculate the prime factors of 6928 and 6940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6928 and 6940.

How to find the GCF of 6928 and 6940?

We will first find the prime factorization of 6928 and 6940. After we will calculate the factors of 6928 and 6940 and find the biggest common factor number .

Step-1: Prime Factorization of 6928

Prime factors of 6928 are 2, 433. Prime factorization of 6928 in exponential form is:

6928 = 2⁴ × 433¹

Step-2: Prime Factorization of 6940

Prime factors of 6940 are 2, 5, 347. Prime factorization of 6940 in exponential form is:

6940 = 2² × 5¹ × 347¹

Step-3: Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464

Step-4: Factors of 6940

List of positive integer factors of 6940 that divides 6928 without a remainder.

1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6928 and 6940. The biggest common factor number is the GCF number.
So the greatest common factor 6928 and 6940 is 4.

Also check out the Least Common Multiple of 6928 and 6940