What is the Greatest Common Factor of 33500 and 33504?

Greatest common factor (GCF) of 33500 and 33504 is 4.

GCF(33500,33504) = 4

We will now calculate the prime factors of 33500 and 33504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33500 and 33504.

How to find the GCF of 33500 and 33504?

We will first find the prime factorization of 33500 and 33504. After we will calculate the factors of 33500 and 33504 and find the biggest common factor number .

Step-1: Prime Factorization of 33500

Prime factors of 33500 are 2, 5, 67. Prime factorization of 33500 in exponential form is:

33500 = 2² × 5³ × 67¹

Step-2: 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-3: Factors of 33500

List of positive integer factors of 33500 that divides 33500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 125, 134, 250, 268, 335, 500, 670, 1340, 1675, 3350, 6700, 8375, 16750

Step-4: Factors of 33504

List of positive integer factors of 33504 that divides 33500 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33500 and 33504. The biggest common factor number is the GCF number.
So the greatest common factor 33500 and 33504 is 4.

Also check out the Least Common Multiple of 33500 and 33504