What is the Greatest Common Factor of 98900 and 98906?

Greatest common factor (GCF) of 98900 and 98906 is 2.

GCF(98900,98906) = 2

We will now calculate the prime factors of 98900 and 98906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98900 and 98906.

How to find the GCF of 98900 and 98906?

We will first find the prime factorization of 98900 and 98906. After we will calculate the factors of 98900 and 98906 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 98906

Prime factors of 98906 are 2, 17, 2909. Prime factorization of 98906 in exponential form is:

98906 = 2¹ × 17¹ × 2909¹

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 98906

List of positive integer factors of 98906 that divides 98900 without a remainder.

1, 2, 17, 34, 2909, 5818, 49453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98900 and 98906. The biggest common factor number is the GCF number.
So the greatest common factor 98900 and 98906 is 2.

Also check out the Least Common Multiple of 98900 and 98906