What is the Greatest Common Factor of 98889 and 98900?

Greatest common factor (GCF) of 98889 and 98900 is 1.

GCF(98889,98900) = 1

We will now calculate the prime factors of 98889 and 98900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98889 and 98900.

How to find the GCF of 98889 and 98900?

We will first find the prime factorization of 98889 and 98900. After we will calculate the factors of 98889 and 98900 and find the biggest common factor number .

Step-1: Prime Factorization of 98889

Prime factors of 98889 are 3, 7, 17, 277. Prime factorization of 98889 in exponential form is:

98889 = 3¹ × 7¹ × 17¹ × 277¹

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 98889

List of positive integer factors of 98889 that divides 98889 without a remainder.

1, 3, 7, 17, 21, 51, 119, 277, 357, 831, 1939, 4709, 5817, 14127, 32963

Step-4: Factors of 98900

List of positive integer factors of 98900 that divides 98889 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 98889 and 98900. The biggest common factor number is the GCF number.
So the greatest common factor 98889 and 98900 is 1.

Also check out the Least Common Multiple of 98889 and 98900