What is the Greatest Common Factor of 6914 and 6923?

Greatest common factor (GCF) of 6914 and 6923 is 1.

GCF(6914,6923) = 1

We will now calculate the prime factors of 6914 and 6923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6914 and 6923.

How to find the GCF of 6914 and 6923?

We will first find the prime factorization of 6914 and 6923. After we will calculate the factors of 6914 and 6923 and find the biggest common factor number .

Step-1: Prime Factorization of 6914

Prime factors of 6914 are 2, 3457. Prime factorization of 6914 in exponential form is:

6914 = 2¹ × 3457¹

Step-2: Prime Factorization of 6923

Prime factors of 6923 are 7, 23, 43. Prime factorization of 6923 in exponential form is:

6923 = 7¹ × 23¹ × 43¹

Step-3: Factors of 6914

List of positive integer factors of 6914 that divides 6914 without a remainder.

1, 2, 3457

Step-4: Factors of 6923

List of positive integer factors of 6923 that divides 6914 without a remainder.

1, 7, 23, 43, 161, 301, 989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6914 and 6923. The biggest common factor number is the GCF number.
So the greatest common factor 6914 and 6923 is 1.

Also check out the Least Common Multiple of 6914 and 6923