What is the Greatest Common Factor of 3915 and 3933?

Greatest common factor (GCF) of 3915 and 3933 is 9.

GCF(3915,3933) = 9

We will now calculate the prime factors of 3915 and 3933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3915 and 3933.

How to find the GCF of 3915 and 3933?

We will first find the prime factorization of 3915 and 3933. After we will calculate the factors of 3915 and 3933 and find the biggest common factor number .

Step-1: Prime Factorization of 3915

Prime factors of 3915 are 3, 5, 29. Prime factorization of 3915 in exponential form is:

3915 = 3³ × 5¹ × 29¹

Step-2: Prime Factorization of 3933

Prime factors of 3933 are 3, 19, 23. Prime factorization of 3933 in exponential form is:

3933 = 3² × 19¹ × 23¹

Step-3: Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305

Step-4: Factors of 3933

List of positive integer factors of 3933 that divides 3915 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3915 and 3933. The biggest common factor number is the GCF number.
So the greatest common factor 3915 and 3933 is 9.

Also check out the Least Common Multiple of 3915 and 3933