What is the Greatest Common Factor of 18714 and 18723?

Greatest common factor (GCF) of 18714 and 18723 is 3.

GCF(18714,18723) = 3

We will now calculate the prime factors of 18714 and 18723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18714 and 18723.

How to find the GCF of 18714 and 18723?

We will first find the prime factorization of 18714 and 18723. After we will calculate the factors of 18714 and 18723 and find the biggest common factor number .

Step-1: Prime Factorization of 18714

Prime factors of 18714 are 2, 3, 3119. Prime factorization of 18714 in exponential form is:

18714 = 2¹ × 3¹ × 3119¹

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 18714

List of positive integer factors of 18714 that divides 18714 without a remainder.

1, 2, 3, 6, 3119, 6238, 9357

Step-4: Factors of 18723

List of positive integer factors of 18723 that divides 18714 without a remainder.

1, 3, 79, 237, 6241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18714 and 18723. The biggest common factor number is the GCF number.
So the greatest common factor 18714 and 18723 is 3.

Also check out the Least Common Multiple of 18714 and 18723