What is the Greatest Common Factor of 33714 and 33723?

Greatest common factor (GCF) of 33714 and 33723 is 9.

GCF(33714,33723) = 9

We will now calculate the prime factors of 33714 and 33723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33714 and 33723.

How to find the GCF of 33714 and 33723?

We will first find the prime factorization of 33714 and 33723. After we will calculate the factors of 33714 and 33723 and find the biggest common factor number .

Step-1: Prime Factorization of 33714

Prime factors of 33714 are 2, 3, 1873. Prime factorization of 33714 in exponential form is:

33714 = 2¹ × 3² × 1873¹

Step-2: Prime Factorization of 33723

Prime factors of 33723 are 3, 1249. Prime factorization of 33723 in exponential form is:

33723 = 3³ × 1249¹

Step-3: Factors of 33714

List of positive integer factors of 33714 that divides 33714 without a remainder.

1, 2, 3, 6, 9, 18, 1873, 3746, 5619, 11238, 16857

Step-4: Factors of 33723

List of positive integer factors of 33723 that divides 33714 without a remainder.

1, 3, 9, 27, 1249, 3747, 11241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33714 and 33723. The biggest common factor number is the GCF number.
So the greatest common factor 33714 and 33723 is 9.

Also check out the Least Common Multiple of 33714 and 33723