What is the Greatest Common Factor of 6944 and 6959?

Greatest common factor (GCF) of 6944 and 6959 is 1.

GCF(6944,6959) = 1

We will now calculate the prime factors of 6944 and 6959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6944 and 6959.

How to find the GCF of 6944 and 6959?

We will first find the prime factorization of 6944 and 6959. After we will calculate the factors of 6944 and 6959 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 6959

Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:

6959 = 6959¹

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 6959

List of positive integer factors of 6959 that divides 6944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6944 and 6959. The biggest common factor number is the GCF number.
So the greatest common factor 6944 and 6959 is 1.

Also check out the Least Common Multiple of 6944 and 6959