What is the Greatest Common Factor of 98100 and 98107?

Greatest common factor (GCF) of 98100 and 98107 is 1.

GCF(98100,98107) = 1

We will now calculate the prime factors of 98100 and 98107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98100 and 98107.

How to find the GCF of 98100 and 98107?

We will first find the prime factorization of 98100 and 98107. After we will calculate the factors of 98100 and 98107 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98107

Prime factors of 98107 are 17, 29, 199. Prime factorization of 98107 in exponential form is:

98107 = 17¹ × 29¹ × 199¹

Step-3: Factors of 98100

List of positive integer factors of 98100 that divides 98100 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

Step-4: Factors of 98107

List of positive integer factors of 98107 that divides 98100 without a remainder.

1, 17, 29, 199, 493, 3383, 5771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98100 and 98107. The biggest common factor number is the GCF number.
So the greatest common factor 98100 and 98107 is 1.

Also check out the Least Common Multiple of 98100 and 98107