What is the Greatest Common Factor of 6894 and 6914?

Greatest common factor (GCF) of 6894 and 6914 is 2.

GCF(6894,6914) = 2

We will now calculate the prime factors of 6894 and 6914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6894 and 6914.

How to find the GCF of 6894 and 6914?

We will first find the prime factorization of 6894 and 6914. After we will calculate the factors of 6894 and 6914 and find the biggest common factor number .

Step-1: Prime Factorization of 6894

Prime factors of 6894 are 2, 3, 383. Prime factorization of 6894 in exponential form is:

6894 = 2¹ × 3² × 383¹

Step-2: Prime Factorization of 6914

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

6914 = 2¹ × 3457¹

Step-3: Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447

Step-4: Factors of 6914

List of positive integer factors of 6914 that divides 6894 without a remainder.

1, 2, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6894 and 6914. The biggest common factor number is the GCF number.
So the greatest common factor 6894 and 6914 is 2.

Also check out the Least Common Multiple of 6894 and 6914