What is the Greatest Common Factor of 98090 and 98100?

Greatest common factor (GCF) of 98090 and 98100 is 10.

GCF(98090,98100) = 10

We will now calculate the prime factors of 98090 and 98100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98090 and 98100.

How to find the GCF of 98090 and 98100?

We will first find the prime factorization of 98090 and 98100. After we will calculate the factors of 98090 and 98100 and find the biggest common factor number .

Step-1: Prime Factorization of 98090

Prime factors of 98090 are 2, 5, 17, 577. Prime factorization of 98090 in exponential form is:

98090 = 2¹ × 5¹ × 17¹ × 577¹

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 98090

List of positive integer factors of 98090 that divides 98090 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 577, 1154, 2885, 5770, 9809, 19618, 49045

Step-4: Factors of 98100

List of positive integer factors of 98100 that divides 98090 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 98090 and 98100. The biggest common factor number is the GCF number.
So the greatest common factor 98090 and 98100 is 10.

Also check out the Least Common Multiple of 98090 and 98100