What is the Greatest Common Factor of 18717 and 18734?

Greatest common factor (GCF) of 18717 and 18734 is 17.

GCF(18717,18734) = 17

We will now calculate the prime factors of 18717 and 18734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18717 and 18734.

How to find the GCF of 18717 and 18734?

We will first find the prime factorization of 18717 and 18734. After we will calculate the factors of 18717 and 18734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18734

Prime factors of 18734 are 2, 17, 19, 29. Prime factorization of 18734 in exponential form is:

18734 = 2¹ × 17¹ × 19¹ × 29¹

Step-3: Factors of 18717

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

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

Step-4: Factors of 18734

List of positive integer factors of 18734 that divides 18717 without a remainder.

1, 2, 17, 19, 29, 34, 38, 58, 323, 493, 551, 646, 986, 1102, 9367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18717 and 18734. The biggest common factor number is the GCF number.
So the greatest common factor 18717 and 18734 is 17.

Also check out the Least Common Multiple of 18717 and 18734