What is the Greatest Common Factor of 33784 and 33804?

Greatest common factor (GCF) of 33784 and 33804 is 4.

GCF(33784,33804) = 4

We will now calculate the prime factors of 33784 and 33804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33784 and 33804.

How to find the GCF of 33784 and 33804?

We will first find the prime factorization of 33784 and 33804. After we will calculate the factors of 33784 and 33804 and find the biggest common factor number .

Step-1: Prime Factorization of 33784

Prime factors of 33784 are 2, 41, 103. Prime factorization of 33784 in exponential form is:

33784 = 2³ × 41¹ × 103¹

Step-2: 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-3: Factors of 33784

List of positive integer factors of 33784 that divides 33784 without a remainder.

1, 2, 4, 8, 41, 82, 103, 164, 206, 328, 412, 824, 4223, 8446, 16892

Step-4: Factors of 33804

List of positive integer factors of 33804 that divides 33784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33784 and 33804. The biggest common factor number is the GCF number.
So the greatest common factor 33784 and 33804 is 4.

Also check out the Least Common Multiple of 33784 and 33804