What is the Greatest Common Factor of 3930 and 3950?

Greatest common factor (GCF) of 3930 and 3950 is 10.

GCF(3930,3950) = 10

We will now calculate the prime factors of 3930 and 3950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3930 and 3950.

How to find the GCF of 3930 and 3950?

We will first find the prime factorization of 3930 and 3950. After we will calculate the factors of 3930 and 3950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3950

Prime factors of 3950 are 2, 5, 79. Prime factorization of 3950 in exponential form is:

3950 = 2¹ × 5² × 79¹

Step-3: Factors of 3930

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

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

Step-4: Factors of 3950

List of positive integer factors of 3950 that divides 3930 without a remainder.

1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3930 and 3950. The biggest common factor number is the GCF number.
So the greatest common factor 3930 and 3950 is 10.

Also check out the Least Common Multiple of 3930 and 3950