What is the Greatest Common Factor of 20500 and 20510?

Greatest common factor (GCF) of 20500 and 20510 is 10.

GCF(20500,20510) = 10

We will now calculate the prime factors of 20500 and 20510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20500 and 20510.

How to find the GCF of 20500 and 20510?

We will first find the prime factorization of 20500 and 20510. After we will calculate the factors of 20500 and 20510 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 20510

Prime factors of 20510 are 2, 5, 7, 293. Prime factorization of 20510 in exponential form is:

20510 = 2¹ × 5¹ × 7¹ × 293¹

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 20510

List of positive integer factors of 20510 that divides 20500 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 293, 586, 1465, 2051, 2930, 4102, 10255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20500 and 20510. The biggest common factor number is the GCF number.
So the greatest common factor 20500 and 20510 is 10.

Also check out the Least Common Multiple of 20500 and 20510