What is the Greatest Common Factor of 18705 and 18723?

Greatest common factor (GCF) of 18705 and 18723 is 3.

GCF(18705,18723) = 3

We will now calculate the prime factors of 18705 and 18723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18705 and 18723.

How to find the GCF of 18705 and 18723?

We will first find the prime factorization of 18705 and 18723. After we will calculate the factors of 18705 and 18723 and find the biggest common factor number .

Step-1: Prime Factorization of 18705

Prime factors of 18705 are 3, 5, 29, 43. Prime factorization of 18705 in exponential form is:

18705 = 3¹ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 18723

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

18723 = 3¹ × 79²

Step-3: Factors of 18705

List of positive integer factors of 18705 that divides 18705 without a remainder.

1, 3, 5, 15, 29, 43, 87, 129, 145, 215, 435, 645, 1247, 3741, 6235

Step-4: Factors of 18723

List of positive integer factors of 18723 that divides 18705 without a remainder.

1, 3, 79, 237, 6241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18705 and 18723. The biggest common factor number is the GCF number.
So the greatest common factor 18705 and 18723 is 3.

Also check out the Least Common Multiple of 18705 and 18723