What is the Greatest Common Factor of 33440 and 33459?

Greatest common factor (GCF) of 33440 and 33459 is 19.

GCF(33440,33459) = 19

We will now calculate the prime factors of 33440 and 33459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33440 and 33459.

How to find the GCF of 33440 and 33459?

We will first find the prime factorization of 33440 and 33459. After we will calculate the factors of 33440 and 33459 and find the biggest common factor number .

Step-1: Prime Factorization of 33440

Prime factors of 33440 are 2, 5, 11, 19. Prime factorization of 33440 in exponential form is:

33440 = 2⁵ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 33459

Prime factors of 33459 are 3, 19, 587. Prime factorization of 33459 in exponential form is:

33459 = 3¹ × 19¹ × 587¹

Step-3: Factors of 33440

List of positive integer factors of 33440 that divides 33440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 352, 380, 418, 440, 608, 760, 836, 880, 1045, 1520, 1672, 1760, 2090, 3040, 3344, 4180, 6688, 8360, 16720

Step-4: Factors of 33459

List of positive integer factors of 33459 that divides 33440 without a remainder.

1, 3, 19, 57, 587, 1761, 11153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33440 and 33459. The biggest common factor number is the GCF number.
So the greatest common factor 33440 and 33459 is 19.

Also check out the Least Common Multiple of 33440 and 33459