What is the Greatest Common Factor of 9930 and 9950?

Greatest common factor (GCF) of 9930 and 9950 is 10.

GCF(9930,9950) = 10

We will now calculate the prime factors of 9930 and 9950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9930 and 9950.

How to find the GCF of 9930 and 9950?

We will first find the prime factorization of 9930 and 9950. After we will calculate the factors of 9930 and 9950 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 9950

Prime factors of 9950 are 2, 5, 199. Prime factorization of 9950 in exponential form is:

9950 = 2¹ × 5² × 199¹

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 9950

List of positive integer factors of 9950 that divides 9930 without a remainder.

1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9930 and 9950. The biggest common factor number is the GCF number.
So the greatest common factor 9930 and 9950 is 10.

Also check out the Least Common Multiple of 9930 and 9950