What is the Greatest Common Factor of 20490 and 20500?

Greatest common factor (GCF) of 20490 and 20500 is 10.

GCF(20490,20500) = 10

We will now calculate the prime factors of 20490 and 20500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20490 and 20500.

How to find the GCF of 20490 and 20500?

We will first find the prime factorization of 20490 and 20500. After we will calculate the factors of 20490 and 20500 and find the biggest common factor number .

Step-1: Prime Factorization of 20490

Prime factors of 20490 are 2, 3, 5, 683. Prime factorization of 20490 in exponential form is:

20490 = 2¹ × 3¹ × 5¹ × 683¹

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 20490

List of positive integer factors of 20490 that divides 20490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 683, 1366, 2049, 3415, 4098, 6830, 10245

Step-4: Factors of 20500

List of positive integer factors of 20500 that divides 20490 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 20490 and 20500. The biggest common factor number is the GCF number.
So the greatest common factor 20490 and 20500 is 10.

Also check out the Least Common Multiple of 20490 and 20500