What is the Greatest Common Factor of 6944 and 6961?

Greatest common factor (GCF) of 6944 and 6961 is 1.

GCF(6944,6961) = 1

We will now calculate the prime factors of 6944 and 6961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6944 and 6961.

How to find the GCF of 6944 and 6961?

We will first find the prime factorization of 6944 and 6961. After we will calculate the factors of 6944 and 6961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6961

Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:

6961 = 6961¹

Step-3: Factors of 6944

List of positive integer factors of 6944 that divides 6944 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

Step-4: Factors of 6961

List of positive integer factors of 6961 that divides 6944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6944 and 6961. The biggest common factor number is the GCF number.
So the greatest common factor 6944 and 6961 is 1.

Also check out the Least Common Multiple of 6944 and 6961