What is the Greatest Common Factor of 20489 and 20500?

Greatest common factor (GCF) of 20489 and 20500 is 1.

GCF(20489,20500) = 1

We will now calculate the prime factors of 20489 and 20500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20489 and 20500.

How to find the GCF of 20489 and 20500?

We will first find the prime factorization of 20489 and 20500. After we will calculate the factors of 20489 and 20500 and find the biggest common factor number .

Step-1: Prime Factorization of 20489

Prime factors of 20489 are 7, 2927. Prime factorization of 20489 in exponential form is:

20489 = 7¹ × 2927¹

Step-2: Prime Factorization of 20500

Prime factors of 20500 are 2, 5, 41. Prime factorization of 20500 in exponential form is:

20500 = 2² × 5³ × 41¹

Step-3: Factors of 20489

List of positive integer factors of 20489 that divides 20489 without a remainder.

1, 7, 2927

Step-4: Factors of 20500

List of positive integer factors of 20500 that divides 20489 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 125, 164, 205, 250, 410, 500, 820, 1025, 2050, 4100, 5125, 10250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20489 and 20500. The biggest common factor number is the GCF number.
So the greatest common factor 20489 and 20500 is 1.

Also check out the Least Common Multiple of 20489 and 20500