What is the Greatest Common Factor of 18700 and 18717?

Greatest common factor (GCF) of 18700 and 18717 is 17.

GCF(18700,18717) = 17

We will now calculate the prime factors of 18700 and 18717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18700 and 18717.

How to find the GCF of 18700 and 18717?

We will first find the prime factorization of 18700 and 18717. After we will calculate the factors of 18700 and 18717 and find the biggest common factor number .

Step-1: Prime Factorization of 18700

Prime factors of 18700 are 2, 5, 11, 17. Prime factorization of 18700 in exponential form is:

18700 = 2² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 18717

Prime factors of 18717 are 3, 17, 367. Prime factorization of 18717 in exponential form is:

18717 = 3¹ × 17¹ × 367¹

Step-3: Factors of 18700

List of positive integer factors of 18700 that divides 18700 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 170, 187, 220, 275, 340, 374, 425, 550, 748, 850, 935, 1100, 1700, 1870, 3740, 4675, 9350

Step-4: Factors of 18717

List of positive integer factors of 18717 that divides 18700 without a remainder.

1, 3, 17, 51, 367, 1101, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18700 and 18717. The biggest common factor number is the GCF number.
So the greatest common factor 18700 and 18717 is 17.

Also check out the Least Common Multiple of 18700 and 18717