What is the Greatest Common Factor of 98900 and 98920?

Greatest common factor (GCF) of 98900 and 98920 is 20.

GCF(98900,98920) = 20

We will now calculate the prime factors of 98900 and 98920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98900 and 98920.

How to find the GCF of 98900 and 98920?

We will first find the prime factorization of 98900 and 98920. After we will calculate the factors of 98900 and 98920 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 98920

Prime factors of 98920 are 2, 5, 2473. Prime factorization of 98920 in exponential form is:

98920 = 2³ × 5¹ × 2473¹

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 98920

List of positive integer factors of 98920 that divides 98900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2473, 4946, 9892, 12365, 19784, 24730, 49460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98900 and 98920. The biggest common factor number is the GCF number.
So the greatest common factor 98900 and 98920 is 20.

Also check out the Least Common Multiple of 98900 and 98920