What is the Greatest Common Factor of 99500 and 99509?

Greatest common factor (GCF) of 99500 and 99509 is 1.

GCF(99500,99509) = 1

We will now calculate the prime factors of 99500 and 99509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99500 and 99509.

How to find the GCF of 99500 and 99509?

We will first find the prime factorization of 99500 and 99509. After we will calculate the factors of 99500 and 99509 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 99509

Prime factors of 99509 are 151, 659. Prime factorization of 99509 in exponential form is:

99509 = 151¹ × 659¹

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 99509

List of positive integer factors of 99509 that divides 99500 without a remainder.

1, 151, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99500 and 99509. The biggest common factor number is the GCF number.
So the greatest common factor 99500 and 99509 is 1.

Also check out the Least Common Multiple of 99500 and 99509