What is the Greatest Common Factor of 6909 and 6913?

Greatest common factor (GCF) of 6909 and 6913 is 1.

GCF(6909,6913) = 1

We will now calculate the prime factors of 6909 and 6913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6909 and 6913.

How to find the GCF of 6909 and 6913?

We will first find the prime factorization of 6909 and 6913. After we will calculate the factors of 6909 and 6913 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 6913

Prime factors of 6913 are 31, 223. Prime factorization of 6913 in exponential form is:

6913 = 31¹ × 223¹

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 6913

List of positive integer factors of 6913 that divides 6909 without a remainder.

1, 31, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6909 and 6913. The biggest common factor number is the GCF number.
So the greatest common factor 6909 and 6913 is 1.

Also check out the Least Common Multiple of 6909 and 6913