What is the Greatest Common Factor of 6888 and 6900?

Greatest common factor (GCF) of 6888 and 6900 is 12.

GCF(6888,6900) = 12

We will now calculate the prime factors of 6888 and 6900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6888 and 6900.

How to find the GCF of 6888 and 6900?

We will first find the prime factorization of 6888 and 6900. After we will calculate the factors of 6888 and 6900 and find the biggest common factor number .

Step-1: Prime Factorization of 6888

Prime factors of 6888 are 2, 3, 7, 41. Prime factorization of 6888 in exponential form is:

6888 = 2³ × 3¹ × 7¹ × 41¹

Step-2: Prime Factorization of 6900

Prime factors of 6900 are 2, 3, 5, 23. Prime factorization of 6900 in exponential form is:

6900 = 2² × 3¹ × 5² × 23¹

Step-3: Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444

Step-4: Factors of 6900

List of positive integer factors of 6900 that divides 6888 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6888 and 6900. The biggest common factor number is the GCF number.
So the greatest common factor 6888 and 6900 is 12.

Also check out the Least Common Multiple of 6888 and 6900