What is the Greatest Common Factor of 6909 and 6921?

Greatest common factor (GCF) of 6909 and 6921 is 3.

GCF(6909,6921) = 3

We will now calculate the prime factors of 6909 and 6921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6909 and 6921.

How to find the GCF of 6909 and 6921?

We will first find the prime factorization of 6909 and 6921. After we will calculate the factors of 6909 and 6921 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6921

Prime factors of 6921 are 3, 769. Prime factorization of 6921 in exponential form is:

6921 = 3² × 769¹

Step-3: Factors of 6909

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

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

Step-4: Factors of 6921

List of positive integer factors of 6921 that divides 6909 without a remainder.

1, 3, 9, 769, 2307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6909 and 6921. The biggest common factor number is the GCF number.
So the greatest common factor 6909 and 6921 is 3.

Also check out the Least Common Multiple of 6909 and 6921