What is the Greatest Common Factor of 6937 and 6951?

Greatest common factor (GCF) of 6937 and 6951 is 7.

GCF(6937,6951) = 7

We will now calculate the prime factors of 6937 and 6951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6937 and 6951.

How to find the GCF of 6937 and 6951?

We will first find the prime factorization of 6937 and 6951. After we will calculate the factors of 6937 and 6951 and find the biggest common factor number .

Step-1: Prime Factorization of 6937

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

6937 = 7¹ × 991¹

Step-2: Prime Factorization of 6951

Prime factors of 6951 are 3, 7, 331. Prime factorization of 6951 in exponential form is:

6951 = 3¹ × 7¹ × 331¹

Step-3: Factors of 6937

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

1, 7, 991

Step-4: Factors of 6951

List of positive integer factors of 6951 that divides 6937 without a remainder.

1, 3, 7, 21, 331, 993, 2317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6937 and 6951. The biggest common factor number is the GCF number.
So the greatest common factor 6937 and 6951 is 7.

Also check out the Least Common Multiple of 6937 and 6951