What is the Greatest Common Factor of 20500 and 20517?

Greatest common factor (GCF) of 20500 and 20517 is 1.

GCF(20500,20517) = 1

We will now calculate the prime factors of 20500 and 20517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20500 and 20517.

How to find the GCF of 20500 and 20517?

We will first find the prime factorization of 20500 and 20517. After we will calculate the factors of 20500 and 20517 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20517

Prime factors of 20517 are 3, 7, 977. Prime factorization of 20517 in exponential form is:

20517 = 3¹ × 7¹ × 977¹

Step-3: Factors of 20500

List of positive integer factors of 20500 that divides 20500 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

Step-4: Factors of 20517

List of positive integer factors of 20517 that divides 20500 without a remainder.

1, 3, 7, 21, 977, 2931, 6839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20500 and 20517. The biggest common factor number is the GCF number.
So the greatest common factor 20500 and 20517 is 1.

Also check out the Least Common Multiple of 20500 and 20517