What is the Greatest Common Factor of 99500 and 99520?

Greatest common factor (GCF) of 99500 and 99520 is 20.

GCF(99500,99520) = 20

We will now calculate the prime factors of 99500 and 99520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99500 and 99520.

How to find the GCF of 99500 and 99520?

We will first find the prime factorization of 99500 and 99520. After we will calculate the factors of 99500 and 99520 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99520

Prime factors of 99520 are 2, 5, 311. Prime factorization of 99520 in exponential form is:

99520 = 2⁶ × 5¹ × 311¹

Step-3: Factors of 99500

List of positive integer factors of 99500 that divides 99500 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

Step-4: Factors of 99520

List of positive integer factors of 99520 that divides 99500 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 311, 320, 622, 1244, 1555, 2488, 3110, 4976, 6220, 9952, 12440, 19904, 24880, 49760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99500 and 99520. The biggest common factor number is the GCF number.
So the greatest common factor 99500 and 99520 is 20.

Also check out the Least Common Multiple of 99500 and 99520