What is the Greatest Common Factor of 6914 and 6925?

Greatest common factor (GCF) of 6914 and 6925 is 1.

GCF(6914,6925) = 1

We will now calculate the prime factors of 6914 and 6925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6914 and 6925.

How to find the GCF of 6914 and 6925?

We will first find the prime factorization of 6914 and 6925. After we will calculate the factors of 6914 and 6925 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 6925

Prime factors of 6925 are 5, 277. Prime factorization of 6925 in exponential form is:

6925 = 5² × 277¹

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 6925

List of positive integer factors of 6925 that divides 6914 without a remainder.

1, 5, 25, 277, 1385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6914 and 6925. The biggest common factor number is the GCF number.
So the greatest common factor 6914 and 6925 is 1.

Also check out the Least Common Multiple of 6914 and 6925