What is the Greatest Common Factor of 33323 and 33328?

Greatest common factor (GCF) of 33323 and 33328 is 1.

GCF(33323,33328) = 1

We will now calculate the prime factors of 33323 and 33328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33323 and 33328.

How to find the GCF of 33323 and 33328?

We will first find the prime factorization of 33323 and 33328. After we will calculate the factors of 33323 and 33328 and find the biggest common factor number .

Step-1: Prime Factorization of 33323

Prime factors of 33323 are 47, 709. Prime factorization of 33323 in exponential form is:

33323 = 47¹ × 709¹

Step-2: Prime Factorization of 33328

Prime factors of 33328 are 2, 2083. Prime factorization of 33328 in exponential form is:

33328 = 2⁴ × 2083¹

Step-3: Factors of 33323

List of positive integer factors of 33323 that divides 33323 without a remainder.

1, 47, 709

Step-4: Factors of 33328

List of positive integer factors of 33328 that divides 33323 without a remainder.

1, 2, 4, 8, 16, 2083, 4166, 8332, 16664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33323 and 33328. The biggest common factor number is the GCF number.
So the greatest common factor 33323 and 33328 is 1.

Also check out the Least Common Multiple of 33323 and 33328