What is the Greatest Common Factor of 33804 and 33821?

Greatest common factor (GCF) of 33804 and 33821 is 1.

GCF(33804,33821) = 1

We will now calculate the prime factors of 33804 and 33821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33804 and 33821.

How to find the GCF of 33804 and 33821?

We will first find the prime factorization of 33804 and 33821. After we will calculate the factors of 33804 and 33821 and find the biggest common factor number .

Step-1: Prime Factorization of 33804

Prime factors of 33804 are 2, 3, 313. Prime factorization of 33804 in exponential form is:

33804 = 2² × 3³ × 313¹

Step-2: Prime Factorization of 33821

Prime factors of 33821 are 31, 1091. Prime factorization of 33821 in exponential form is:

33821 = 31¹ × 1091¹

Step-3: Factors of 33804

List of positive integer factors of 33804 that divides 33804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 313, 626, 939, 1252, 1878, 2817, 3756, 5634, 8451, 11268, 16902

Step-4: Factors of 33821

List of positive integer factors of 33821 that divides 33804 without a remainder.

1, 31, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33804 and 33821. The biggest common factor number is the GCF number.
So the greatest common factor 33804 and 33821 is 1.

Also check out the Least Common Multiple of 33804 and 33821