What is the Greatest Common Factor of 6880 and 6896?

Greatest common factor (GCF) of 6880 and 6896 is 16.

GCF(6880,6896) = 16

We will now calculate the prime factors of 6880 and 6896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6880 and 6896.

How to find the GCF of 6880 and 6896?

We will first find the prime factorization of 6880 and 6896. After we will calculate the factors of 6880 and 6896 and find the biggest common factor number .

Step-1: Prime Factorization of 6880

Prime factors of 6880 are 2, 5, 43. Prime factorization of 6880 in exponential form is:

6880 = 2⁵ × 5¹ × 43¹

Step-2: Prime Factorization of 6896

Prime factors of 6896 are 2, 431. Prime factorization of 6896 in exponential form is:

6896 = 2⁴ × 431¹

Step-3: Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440

Step-4: Factors of 6896

List of positive integer factors of 6896 that divides 6880 without a remainder.

1, 2, 4, 8, 16, 431, 862, 1724, 3448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6880 and 6896. The biggest common factor number is the GCF number.
So the greatest common factor 6880 and 6896 is 16.

Also check out the Least Common Multiple of 6880 and 6896