What is the Greatest Common Factor of 20090 and 20107?

Greatest common factor (GCF) of 20090 and 20107 is 1.

GCF(20090,20107) = 1

We will now calculate the prime factors of 20090 and 20107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20090 and 20107.

How to find the GCF of 20090 and 20107?

We will first find the prime factorization of 20090 and 20107. After we will calculate the factors of 20090 and 20107 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 20107

Prime factors of 20107 are 20107. Prime factorization of 20107 in exponential form is:

20107 = 20107¹

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 20107

List of positive integer factors of 20107 that divides 20090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20090 and 20107. The biggest common factor number is the GCF number.
So the greatest common factor 20090 and 20107 is 1.

Also check out the Least Common Multiple of 20090 and 20107