What is the Greatest Common Factor of 98100 and 98114?

Greatest common factor (GCF) of 98100 and 98114 is 2.

GCF(98100,98114) = 2

We will now calculate the prime factors of 98100 and 98114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98100 and 98114.

How to find the GCF of 98100 and 98114?

We will first find the prime factorization of 98100 and 98114. After we will calculate the factors of 98100 and 98114 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 98114

Prime factors of 98114 are 2, 49057. Prime factorization of 98114 in exponential form is:

98114 = 2¹ × 49057¹

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 98114

List of positive integer factors of 98114 that divides 98100 without a remainder.

1, 2, 49057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98100 and 98114. The biggest common factor number is the GCF number.
So the greatest common factor 98100 and 98114 is 2.

Also check out the Least Common Multiple of 98100 and 98114