What is the Greatest Common Factor of 98900 and 98909?

Greatest common factor (GCF) of 98900 and 98909 is 1.

GCF(98900,98909) = 1

We will now calculate the prime factors of 98900 and 98909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98900 and 98909.

How to find the GCF of 98900 and 98909?

We will first find the prime factorization of 98900 and 98909. After we will calculate the factors of 98900 and 98909 and find the biggest common factor number .

Step-1: Prime Factorization of 98900

Prime factors of 98900 are 2, 5, 23, 43. Prime factorization of 98900 in exponential form is:

98900 = 2² × 5² × 23¹ × 43¹

Step-2: Prime Factorization of 98909

Prime factors of 98909 are 98909. Prime factorization of 98909 in exponential form is:

98909 = 98909¹

Step-3: Factors of 98900

List of positive integer factors of 98900 that divides 98900 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 43, 46, 50, 86, 92, 100, 115, 172, 215, 230, 430, 460, 575, 860, 989, 1075, 1150, 1978, 2150, 2300, 3956, 4300, 4945, 9890, 19780, 24725, 49450

Step-4: Factors of 98909

List of positive integer factors of 98909 that divides 98900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98900 and 98909. The biggest common factor number is the GCF number.
So the greatest common factor 98900 and 98909 is 1.

Also check out the Least Common Multiple of 98900 and 98909