What is the Greatest Common Factor of 33321 and 33336?

Greatest common factor (GCF) of 33321 and 33336 is 3.

GCF(33321,33336) = 3

We will now calculate the prime factors of 33321 and 33336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33321 and 33336.

How to find the GCF of 33321 and 33336?

We will first find the prime factorization of 33321 and 33336. After we will calculate the factors of 33321 and 33336 and find the biggest common factor number .

Step-1: Prime Factorization of 33321

Prime factors of 33321 are 3, 29, 383. Prime factorization of 33321 in exponential form is:

33321 = 3¹ × 29¹ × 383¹

Step-2: Prime Factorization of 33336

Prime factors of 33336 are 2, 3, 463. Prime factorization of 33336 in exponential form is:

33336 = 2³ × 3² × 463¹

Step-3: Factors of 33321

List of positive integer factors of 33321 that divides 33321 without a remainder.

1, 3, 29, 87, 383, 1149, 11107

Step-4: Factors of 33336

List of positive integer factors of 33336 that divides 33321 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 463, 926, 1389, 1852, 2778, 3704, 4167, 5556, 8334, 11112, 16668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33321 and 33336. The biggest common factor number is the GCF number.
So the greatest common factor 33321 and 33336 is 3.

Also check out the Least Common Multiple of 33321 and 33336