What is the Greatest Common Factor of 18723 and 18734?

Greatest common factor (GCF) of 18723 and 18734 is 1.

GCF(18723,18734) = 1

We will now calculate the prime factors of 18723 and 18734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18723 and 18734.

How to find the GCF of 18723 and 18734?

We will first find the prime factorization of 18723 and 18734. After we will calculate the factors of 18723 and 18734 and find the biggest common factor number .

Step-1: Prime Factorization of 18723

Prime factors of 18723 are 3, 79. Prime factorization of 18723 in exponential form is:

18723 = 3¹ × 79²

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 18723

List of positive integer factors of 18723 that divides 18723 without a remainder.

1, 3, 79, 237, 6241

Step-4: Factors of 18734

List of positive integer factors of 18734 that divides 18723 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 18723 and 18734. The biggest common factor number is the GCF number.
So the greatest common factor 18723 and 18734 is 1.

Also check out the Least Common Multiple of 18723 and 18734