What is the Greatest Common Factor of 18513 and 18530?

Greatest common factor (GCF) of 18513 and 18530 is 17.

GCF(18513,18530) = 17

We will now calculate the prime factors of 18513 and 18530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18513 and 18530.

How to find the GCF of 18513 and 18530?

We will first find the prime factorization of 18513 and 18530. After we will calculate the factors of 18513 and 18530 and find the biggest common factor number .

Step-1: Prime Factorization of 18513

Prime factors of 18513 are 3, 11, 17. Prime factorization of 18513 in exponential form is:

18513 = 3² × 11² × 17¹

Step-2: Prime Factorization of 18530

Prime factors of 18530 are 2, 5, 17, 109. Prime factorization of 18530 in exponential form is:

18530 = 2¹ × 5¹ × 17¹ × 109¹

Step-3: Factors of 18513

List of positive integer factors of 18513 that divides 18513 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 121, 153, 187, 363, 561, 1089, 1683, 2057, 6171

Step-4: Factors of 18530

List of positive integer factors of 18530 that divides 18513 without a remainder.

1, 2, 5, 10, 17, 34, 85, 109, 170, 218, 545, 1090, 1853, 3706, 9265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18513 and 18530. The biggest common factor number is the GCF number.
So the greatest common factor 18513 and 18530 is 17.

Also check out the Least Common Multiple of 18513 and 18530