What is the Greatest Common Factor of 9930 and 9939?

Greatest common factor (GCF) of 9930 and 9939 is 3.

GCF(9930,9939) = 3

We will now calculate the prime factors of 9930 and 9939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9930 and 9939.

How to find the GCF of 9930 and 9939?

We will first find the prime factorization of 9930 and 9939. After we will calculate the factors of 9930 and 9939 and find the biggest common factor number .

Step-1: Prime Factorization of 9930

Prime factors of 9930 are 2, 3, 5, 331. Prime factorization of 9930 in exponential form is:

9930 = 2¹ × 3¹ × 5¹ × 331¹

Step-2: Prime Factorization of 9939

Prime factors of 9939 are 3, 3313. Prime factorization of 9939 in exponential form is:

9939 = 3¹ × 3313¹

Step-3: Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965

Step-4: Factors of 9939

List of positive integer factors of 9939 that divides 9930 without a remainder.

1, 3, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9930 and 9939. The biggest common factor number is the GCF number.
So the greatest common factor 9930 and 9939 is 3.

Also check out the Least Common Multiple of 9930 and 9939