What is the Greatest Common Factor of 98100 and 98118?

Greatest common factor (GCF) of 98100 and 98118 is 18.

GCF(98100,98118) = 18

We will now calculate the prime factors of 98100 and 98118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98100 and 98118.

How to find the GCF of 98100 and 98118?

We will first find the prime factorization of 98100 and 98118. After we will calculate the factors of 98100 and 98118 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 98118

Prime factors of 98118 are 2, 3, 23, 79. Prime factorization of 98118 in exponential form is:

98118 = 2¹ × 3³ × 23¹ × 79¹

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 98118

List of positive integer factors of 98118 that divides 98100 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 79, 138, 158, 207, 237, 414, 474, 621, 711, 1242, 1422, 1817, 2133, 3634, 4266, 5451, 10902, 16353, 32706, 49059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98100 and 98118. The biggest common factor number is the GCF number.
So the greatest common factor 98100 and 98118 is 18.

Also check out the Least Common Multiple of 98100 and 98118