What is the Greatest Common Factor of 98089 and 98100?

Greatest common factor (GCF) of 98089 and 98100 is 1.

GCF(98089,98100) = 1

We will now calculate the prime factors of 98089 and 98100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98089 and 98100.

How to find the GCF of 98089 and 98100?

We will first find the prime factorization of 98089 and 98100. After we will calculate the factors of 98089 and 98100 and find the biggest common factor number .

Step-1: Prime Factorization of 98089

Prime factors of 98089 are 47, 2087. Prime factorization of 98089 in exponential form is:

98089 = 47¹ × 2087¹

Step-2: Prime Factorization of 98100

Prime factors of 98100 are 2, 3, 5, 109. Prime factorization of 98100 in exponential form is:

98100 = 2² × 3² × 5² × 109¹

Step-3: Factors of 98089

List of positive integer factors of 98089 that divides 98089 without a remainder.

1, 47, 2087

Step-4: Factors of 98100

List of positive integer factors of 98100 that divides 98089 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 109, 150, 180, 218, 225, 300, 327, 436, 450, 545, 654, 900, 981, 1090, 1308, 1635, 1962, 2180, 2725, 3270, 3924, 4905, 5450, 6540, 8175, 9810, 10900, 16350, 19620, 24525, 32700, 49050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98089 and 98100. The biggest common factor number is the GCF number.
So the greatest common factor 98089 and 98100 is 1.

Also check out the Least Common Multiple of 98089 and 98100