What is the Greatest Common Factor of 6937 and 6944?

Greatest common factor (GCF) of 6937 and 6944 is 7.

GCF(6937,6944) = 7

We will now calculate the prime factors of 6937 and 6944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6937 and 6944.

How to find the GCF of 6937 and 6944?

We will first find the prime factorization of 6937 and 6944. After we will calculate the factors of 6937 and 6944 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 6944

Prime factors of 6944 are 2, 7, 31. Prime factorization of 6944 in exponential form is:

6944 = 2⁵ × 7¹ × 31¹

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 6944

List of positive integer factors of 6944 that divides 6937 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6937 and 6944. The biggest common factor number is the GCF number.
So the greatest common factor 6937 and 6944 is 7.

Also check out the Least Common Multiple of 6937 and 6944