What is the Greatest Common Factor of 3924 and 3930?

Greatest common factor (GCF) of 3924 and 3930 is 6.

GCF(3924,3930) = 6

We will now calculate the prime factors of 3924 and 3930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3924 and 3930.

How to find the GCF of 3924 and 3930?

We will first find the prime factorization of 3924 and 3930. After we will calculate the factors of 3924 and 3930 and find the biggest common factor number .

Step-1: Prime Factorization of 3924

Prime factors of 3924 are 2, 3, 109. Prime factorization of 3924 in exponential form is:

3924 = 2² × 3² × 109¹

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 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962

Step-4: Factors of 3930

List of positive integer factors of 3930 that divides 3924 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 3924 and 3930. The biggest common factor number is the GCF number.
So the greatest common factor 3924 and 3930 is 6.

Also check out the Least Common Multiple of 3924 and 3930