What is the Greatest Common Factor of 99930 and 99945?

Greatest common factor (GCF) of 99930 and 99945 is 15.

GCF(99930,99945) = 15

We will now calculate the prime factors of 99930 and 99945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99930 and 99945.

How to find the GCF of 99930 and 99945?

We will first find the prime factorization of 99930 and 99945. After we will calculate the factors of 99930 and 99945 and find the biggest common factor number .

Step-1: Prime Factorization of 99930

Prime factors of 99930 are 2, 3, 5, 3331. Prime factorization of 99930 in exponential form is:

99930 = 2¹ × 3¹ × 5¹ × 3331¹

Step-2: Prime Factorization of 99945

Prime factors of 99945 are 3, 5, 2221. Prime factorization of 99945 in exponential form is:

99945 = 3² × 5¹ × 2221¹

Step-3: Factors of 99930

List of positive integer factors of 99930 that divides 99930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3331, 6662, 9993, 16655, 19986, 33310, 49965

Step-4: Factors of 99945

List of positive integer factors of 99945 that divides 99930 without a remainder.

1, 3, 5, 9, 15, 45, 2221, 6663, 11105, 19989, 33315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99930 and 99945. The biggest common factor number is the GCF number.
So the greatest common factor 99930 and 99945 is 15.

Also check out the Least Common Multiple of 99930 and 99945