What is the Greatest Common Factor of 9930 and 9945?

Greatest common factor (GCF) of 9930 and 9945 is 15.

GCF(9930,9945) = 15

We will now calculate the prime factors of 9930 and 9945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9930 and 9945.

How to find the GCF of 9930 and 9945?

We will first find the prime factorization of 9930 and 9945. After we will calculate the factors of 9930 and 9945 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 9945

Prime factors of 9945 are 3, 5, 13, 17. Prime factorization of 9945 in exponential form is:

9945 = 3² × 5¹ × 13¹ × 17¹

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 9945

List of positive integer factors of 9945 that divides 9930 without a remainder.

1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9930 and 9945. The biggest common factor number is the GCF number.
So the greatest common factor 9930 and 9945 is 15.

Also check out the Least Common Multiple of 9930 and 9945