What is the Greatest Common Factor of 33504 and 33519?

Greatest common factor (GCF) of 33504 and 33519 is 3.

GCF(33504,33519) = 3

We will now calculate the prime factors of 33504 and 33519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33504 and 33519.

How to find the GCF of 33504 and 33519?

We will first find the prime factorization of 33504 and 33519. After we will calculate the factors of 33504 and 33519 and find the biggest common factor number .

Step-1: Prime Factorization of 33504

Prime factors of 33504 are 2, 3, 349. Prime factorization of 33504 in exponential form is:

33504 = 2⁵ × 3¹ × 349¹

Step-2: Prime Factorization of 33519

Prime factors of 33519 are 3, 11173. Prime factorization of 33519 in exponential form is:

33519 = 3¹ × 11173¹

Step-3: Factors of 33504

List of positive integer factors of 33504 that divides 33504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752

Step-4: Factors of 33519

List of positive integer factors of 33519 that divides 33504 without a remainder.

1, 3, 11173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33504 and 33519. The biggest common factor number is the GCF number.
So the greatest common factor 33504 and 33519 is 3.

Also check out the Least Common Multiple of 33504 and 33519