What is the Greatest Common Factor of 18500 and 18510?

Greatest common factor (GCF) of 18500 and 18510 is 10.

GCF(18500,18510) = 10

We will now calculate the prime factors of 18500 and 18510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18500 and 18510.

How to find the GCF of 18500 and 18510?

We will first find the prime factorization of 18500 and 18510. After we will calculate the factors of 18500 and 18510 and find the biggest common factor number .

Step-1: Prime Factorization of 18500

Prime factors of 18500 are 2, 5, 37. Prime factorization of 18500 in exponential form is:

18500 = 2² × 5³ × 37¹

Step-2: Prime Factorization of 18510

Prime factors of 18510 are 2, 3, 5, 617. Prime factorization of 18510 in exponential form is:

18510 = 2¹ × 3¹ × 5¹ × 617¹

Step-3: Factors of 18500

List of positive integer factors of 18500 that divides 18500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 125, 148, 185, 250, 370, 500, 740, 925, 1850, 3700, 4625, 9250

Step-4: Factors of 18510

List of positive integer factors of 18510 that divides 18500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 617, 1234, 1851, 3085, 3702, 6170, 9255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18500 and 18510. The biggest common factor number is the GCF number.
So the greatest common factor 18500 and 18510 is 10.

Also check out the Least Common Multiple of 18500 and 18510