What is the Greatest Common Factor of 33488 and 33500?

Greatest common factor (GCF) of 33488 and 33500 is 4.

GCF(33488,33500) = 4

We will now calculate the prime factors of 33488 and 33500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33488 and 33500.

How to find the GCF of 33488 and 33500?

We will first find the prime factorization of 33488 and 33500. After we will calculate the factors of 33488 and 33500 and find the biggest common factor number .

Step-1: Prime Factorization of 33488

Prime factors of 33488 are 2, 7, 13, 23. Prime factorization of 33488 in exponential form is:

33488 = 2⁴ × 7¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 33488

List of positive integer factors of 33488 that divides 33488 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 299, 322, 364, 368, 598, 644, 728, 1196, 1288, 1456, 2093, 2392, 2576, 4186, 4784, 8372, 16744

Step-4: Factors of 33500

List of positive integer factors of 33500 that divides 33488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33488 and 33500. The biggest common factor number is the GCF number.
So the greatest common factor 33488 and 33500 is 4.

Also check out the Least Common Multiple of 33488 and 33500