What is the Greatest Common Factor of 18734 and 18747?

Greatest common factor (GCF) of 18734 and 18747 is 1.

GCF(18734,18747) = 1

We will now calculate the prime factors of 18734 and 18747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18734 and 18747.

How to find the GCF of 18734 and 18747?

We will first find the prime factorization of 18734 and 18747. After we will calculate the factors of 18734 and 18747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18747

Prime factors of 18747 are 3, 2083. Prime factorization of 18747 in exponential form is:

18747 = 3² × 2083¹

Step-3: Factors of 18734

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

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

Step-4: Factors of 18747

List of positive integer factors of 18747 that divides 18734 without a remainder.

1, 3, 9, 2083, 6249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18734 and 18747. The biggest common factor number is the GCF number.
So the greatest common factor 18734 and 18747 is 1.

Also check out the Least Common Multiple of 18734 and 18747