What is the Greatest Common Factor of 6909 and 6915?

Greatest common factor (GCF) of 6909 and 6915 is 3.

GCF(6909,6915) = 3

We will now calculate the prime factors of 6909 and 6915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6909 and 6915.

How to find the GCF of 6909 and 6915?

We will first find the prime factorization of 6909 and 6915. After we will calculate the factors of 6909 and 6915 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 6915

Prime factors of 6915 are 3, 5, 461. Prime factorization of 6915 in exponential form is:

6915 = 3¹ × 5¹ × 461¹

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 6915

List of positive integer factors of 6915 that divides 6909 without a remainder.

1, 3, 5, 15, 461, 1383, 2305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6909 and 6915. The biggest common factor number is the GCF number.
So the greatest common factor 6909 and 6915 is 3.

Also check out the Least Common Multiple of 6909 and 6915