What is the Greatest Common Factor of 18683 and 18700?

Greatest common factor (GCF) of 18683 and 18700 is 17.

GCF(18683,18700) = 17

We will now calculate the prime factors of 18683 and 18700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18683 and 18700.

How to find the GCF of 18683 and 18700?

We will first find the prime factorization of 18683 and 18700. After we will calculate the factors of 18683 and 18700 and find the biggest common factor number .

Step-1: Prime Factorization of 18683

Prime factors of 18683 are 7, 17, 157. Prime factorization of 18683 in exponential form is:

18683 = 7¹ × 17¹ × 157¹

Step-2: 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-3: Factors of 18683

List of positive integer factors of 18683 that divides 18683 without a remainder.

1, 7, 17, 119, 157, 1099, 2669

Step-4: Factors of 18700

List of positive integer factors of 18700 that divides 18683 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18683 and 18700. The biggest common factor number is the GCF number.
So the greatest common factor 18683 and 18700 is 17.

Also check out the Least Common Multiple of 18683 and 18700