What is the Greatest Common Factor of 98894 and 98900?

Greatest common factor (GCF) of 98894 and 98900 is 2.

GCF(98894,98900) = 2

We will now calculate the prime factors of 98894 and 98900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98894 and 98900.

How to find the GCF of 98894 and 98900?

We will first find the prime factorization of 98894 and 98900. After we will calculate the factors of 98894 and 98900 and find the biggest common factor number .

Step-1: Prime Factorization of 98894

Prime factors of 98894 are 2, 197, 251. Prime factorization of 98894 in exponential form is:

98894 = 2¹ × 197¹ × 251¹

Step-2: 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-3: Factors of 98894

List of positive integer factors of 98894 that divides 98894 without a remainder.

1, 2, 197, 251, 394, 502, 49447

Step-4: Factors of 98900

List of positive integer factors of 98900 that divides 98894 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98894 and 98900. The biggest common factor number is the GCF number.
So the greatest common factor 98894 and 98900 is 2.

Also check out the Least Common Multiple of 98894 and 98900