What is the Greatest Common Factor of 6875 and 6880?

Greatest common factor (GCF) of 6875 and 6880 is 5.

GCF(6875,6880) = 5

We will now calculate the prime factors of 6875 and 6880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6875 and 6880.

How to find the GCF of 6875 and 6880?

We will first find the prime factorization of 6875 and 6880. After we will calculate the factors of 6875 and 6880 and find the biggest common factor number .

Step-1: Prime Factorization of 6875

Prime factors of 6875 are 5, 11. Prime factorization of 6875 in exponential form is:

6875 = 5⁴ × 11¹

Step-2: 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-3: Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375

Step-4: Factors of 6880

List of positive integer factors of 6880 that divides 6875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6875 and 6880. The biggest common factor number is the GCF number.
So the greatest common factor 6875 and 6880 is 5.

Also check out the Least Common Multiple of 6875 and 6880