What is the Greatest Common Factor of 3915 and 3930?

Greatest common factor (GCF) of 3915 and 3930 is 15.

GCF(3915,3930) = 15

We will now calculate the prime factors of 3915 and 3930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3915 and 3930.

How to find the GCF of 3915 and 3930?

We will first find the prime factorization of 3915 and 3930. After we will calculate the factors of 3915 and 3930 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 3930

Prime factors of 3930 are 2, 3, 5, 131. Prime factorization of 3930 in exponential form is:

3930 = 2¹ × 3¹ × 5¹ × 131¹

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 3930

List of positive integer factors of 3930 that divides 3915 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3915 and 3930. The biggest common factor number is the GCF number.
So the greatest common factor 3915 and 3930 is 15.

Also check out the Least Common Multiple of 3915 and 3930