What is the Greatest Common Factor of 3914 and 3930?

Greatest common factor (GCF) of 3914 and 3930 is 2.

GCF(3914,3930) = 2

We will now calculate the prime factors of 3914 and 3930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3914 and 3930.

How to find the GCF of 3914 and 3930?

We will first find the prime factorization of 3914 and 3930. After we will calculate the factors of 3914 and 3930 and find the biggest common factor number .

Step-1: Prime Factorization of 3914

Prime factors of 3914 are 2, 19, 103. Prime factorization of 3914 in exponential form is:

3914 = 2¹ × 19¹ × 103¹

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 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1, 2, 19, 38, 103, 206, 1957

Step-4: Factors of 3930

List of positive integer factors of 3930 that divides 3914 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 3914 and 3930. The biggest common factor number is the GCF number.
So the greatest common factor 3914 and 3930 is 2.

Also check out the Least Common Multiple of 3914 and 3930