What is the Greatest Common Factor of 6944 and 6960?

Greatest common factor (GCF) of 6944 and 6960 is 16.

GCF(6944,6960) = 16

We will now calculate the prime factors of 6944 and 6960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6944 and 6960.

How to find the GCF of 6944 and 6960?

We will first find the prime factorization of 6944 and 6960. After we will calculate the factors of 6944 and 6960 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 6960

Prime factors of 6960 are 2, 3, 5, 29. Prime factorization of 6960 in exponential form is:

6960 = 2⁴ × 3¹ × 5¹ × 29¹

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 6960

List of positive integer factors of 6960 that divides 6944 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6944 and 6960. The biggest common factor number is the GCF number.
So the greatest common factor 6944 and 6960 is 16.

Also check out the Least Common Multiple of 6944 and 6960