What is the Greatest Common Factor of 20090 and 20110?

Greatest common factor (GCF) of 20090 and 20110 is 10.

GCF(20090,20110) = 10

We will now calculate the prime factors of 20090 and 20110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20090 and 20110.

How to find the GCF of 20090 and 20110?

We will first find the prime factorization of 20090 and 20110. After we will calculate the factors of 20090 and 20110 and find the biggest common factor number .

Step-1: Prime Factorization of 20090

Prime factors of 20090 are 2, 5, 7, 41. Prime factorization of 20090 in exponential form is:

20090 = 2¹ × 5¹ × 7² × 41¹

Step-2: Prime Factorization of 20110

Prime factors of 20110 are 2, 5, 2011. Prime factorization of 20110 in exponential form is:

20110 = 2¹ × 5¹ × 2011¹

Step-3: Factors of 20090

List of positive integer factors of 20090 that divides 20090 without a remainder.

1, 2, 5, 7, 10, 14, 35, 41, 49, 70, 82, 98, 205, 245, 287, 410, 490, 574, 1435, 2009, 2870, 4018, 10045

Step-4: Factors of 20110

List of positive integer factors of 20110 that divides 20090 without a remainder.

1, 2, 5, 10, 2011, 4022, 10055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20090 and 20110. The biggest common factor number is the GCF number.
So the greatest common factor 20090 and 20110 is 10.

Also check out the Least Common Multiple of 20090 and 20110