What is the Greatest Common Factor of 6900 and 6909?

Greatest common factor (GCF) of 6900 and 6909 is 3.

GCF(6900,6909) = 3

We will now calculate the prime factors of 6900 and 6909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6900 and 6909.

How to find the GCF of 6900 and 6909?

We will first find the prime factorization of 6900 and 6909. After we will calculate the factors of 6900 and 6909 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6909

Prime factors of 6909 are 3, 7, 47. Prime factorization of 6909 in exponential form is:

6909 = 3¹ × 7² × 47¹

Step-3: Factors of 6900

List of positive integer factors of 6900 that divides 6900 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

Step-4: Factors of 6909

List of positive integer factors of 6909 that divides 6900 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6900 and 6909. The biggest common factor number is the GCF number.
So the greatest common factor 6900 and 6909 is 3.

Also check out the Least Common Multiple of 6900 and 6909