What is the Greatest Common Factor of 6888 and 6901?

Greatest common factor (GCF) of 6888 and 6901 is 1.

GCF(6888,6901) = 1

We will now calculate the prime factors of 6888 and 6901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6888 and 6901.

How to find the GCF of 6888 and 6901?

We will first find the prime factorization of 6888 and 6901. After we will calculate the factors of 6888 and 6901 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 6901

Prime factors of 6901 are 67, 103. Prime factorization of 6901 in exponential form is:

6901 = 67¹ × 103¹

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 6901

List of positive integer factors of 6901 that divides 6888 without a remainder.

1, 67, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6888 and 6901. The biggest common factor number is the GCF number.
So the greatest common factor 6888 and 6901 is 1.

Also check out the Least Common Multiple of 6888 and 6901