What is the Greatest Common Factor of 20090 and 20104?

Greatest common factor (GCF) of 20090 and 20104 is 14.

GCF(20090,20104) = 14

We will now calculate the prime factors of 20090 and 20104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20090 and 20104.

How to find the GCF of 20090 and 20104?

We will first find the prime factorization of 20090 and 20104. After we will calculate the factors of 20090 and 20104 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 20104

Prime factors of 20104 are 2, 7, 359. Prime factorization of 20104 in exponential form is:

20104 = 2³ × 7¹ × 359¹

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 20104

List of positive integer factors of 20104 that divides 20090 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 359, 718, 1436, 2513, 2872, 5026, 10052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20090 and 20104. The biggest common factor number is the GCF number.
So the greatest common factor 20090 and 20104 is 14.

Also check out the Least Common Multiple of 20090 and 20104