What is the Greatest Common Factor of 6885 and 6900?

Greatest common factor (GCF) of 6885 and 6900 is 15.

GCF(6885,6900) = 15

We will now calculate the prime factors of 6885 and 6900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6885 and 6900.

How to find the GCF of 6885 and 6900?

We will first find the prime factorization of 6885 and 6900. After we will calculate the factors of 6885 and 6900 and find the biggest common factor number .

Step-1: Prime Factorization of 6885

Prime factors of 6885 are 3, 5, 17. Prime factorization of 6885 in exponential form is:

6885 = 3⁴ × 5¹ × 17¹

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 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295

Step-4: Factors of 6900

List of positive integer factors of 6900 that divides 6885 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 6885 and 6900. The biggest common factor number is the GCF number.
So the greatest common factor 6885 and 6900 is 15.

Also check out the Least Common Multiple of 6885 and 6900