What is the Greatest Common Factor of 6909 and 6924?

Greatest common factor (GCF) of 6909 and 6924 is 3.

GCF(6909,6924) = 3

We will now calculate the prime factors of 6909 and 6924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6909 and 6924.

How to find the GCF of 6909 and 6924?

We will first find the prime factorization of 6909 and 6924. After we will calculate the factors of 6909 and 6924 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 6924

Prime factors of 6924 are 2, 3, 577. Prime factorization of 6924 in exponential form is:

6924 = 2² × 3¹ × 577¹

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 6924

List of positive integer factors of 6924 that divides 6909 without a remainder.

1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6909 and 6924. The biggest common factor number is the GCF number.
So the greatest common factor 6909 and 6924 is 3.

Also check out the Least Common Multiple of 6909 and 6924