What is the Greatest Common Factor of 6915 and 6933?

Greatest common factor (GCF) of 6915 and 6933 is 3.

GCF(6915,6933) = 3

We will now calculate the prime factors of 6915 and 6933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6915 and 6933.

How to find the GCF of 6915 and 6933?

We will first find the prime factorization of 6915 and 6933. After we will calculate the factors of 6915 and 6933 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6933

Prime factors of 6933 are 3, 2311. Prime factorization of 6933 in exponential form is:

6933 = 3¹ × 2311¹

Step-3: Factors of 6915

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

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

Step-4: Factors of 6933

List of positive integer factors of 6933 that divides 6915 without a remainder.

1, 3, 2311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6915 and 6933. The biggest common factor number is the GCF number.
So the greatest common factor 6915 and 6933 is 3.

Also check out the Least Common Multiple of 6915 and 6933