What is the Greatest Common Factor of 6925 and 6937?

Greatest common factor (GCF) of 6925 and 6937 is 1.

GCF(6925,6937) = 1

We will now calculate the prime factors of 6925 and 6937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6925 and 6937.

How to find the GCF of 6925 and 6937?

We will first find the prime factorization of 6925 and 6937. After we will calculate the factors of 6925 and 6937 and find the biggest common factor number .

Step-1: Prime Factorization of 6925

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

6925 = 5² × 277¹

Step-2: Prime Factorization of 6937

Prime factors of 6937 are 7, 991. Prime factorization of 6937 in exponential form is:

6937 = 7¹ × 991¹

Step-3: Factors of 6925

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

1, 5, 25, 277, 1385

Step-4: Factors of 6937

List of positive integer factors of 6937 that divides 6925 without a remainder.

1, 7, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6925 and 6937. The biggest common factor number is the GCF number.
So the greatest common factor 6925 and 6937 is 1.

Also check out the Least Common Multiple of 6925 and 6937