What is the Greatest Common Factor of 99480 and 99500?

Greatest common factor (GCF) of 99480 and 99500 is 20.

GCF(99480,99500) = 20

We will now calculate the prime factors of 99480 and 99500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99480 and 99500.

How to find the GCF of 99480 and 99500?

We will first find the prime factorization of 99480 and 99500. After we will calculate the factors of 99480 and 99500 and find the biggest common factor number .

Step-1: Prime Factorization of 99480

Prime factors of 99480 are 2, 3, 5, 829. Prime factorization of 99480 in exponential form is:

99480 = 2³ × 3¹ × 5¹ × 829¹

Step-2: Prime Factorization of 99500

Prime factors of 99500 are 2, 5, 199. Prime factorization of 99500 in exponential form is:

99500 = 2² × 5³ × 199¹

Step-3: Factors of 99480

List of positive integer factors of 99480 that divides 99480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 829, 1658, 2487, 3316, 4145, 4974, 6632, 8290, 9948, 12435, 16580, 19896, 24870, 33160, 49740

Step-4: Factors of 99500

List of positive integer factors of 99500 that divides 99480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 199, 250, 398, 500, 796, 995, 1990, 3980, 4975, 9950, 19900, 24875, 49750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99480 and 99500. The biggest common factor number is the GCF number.
So the greatest common factor 99480 and 99500 is 20.

Also check out the Least Common Multiple of 99480 and 99500