What is the Greatest Common Factor of 33435 and 33440?

Greatest common factor (GCF) of 33435 and 33440 is 5.

GCF(33435,33440) = 5

We will now calculate the prime factors of 33435 and 33440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33435 and 33440.

How to find the GCF of 33435 and 33440?

We will first find the prime factorization of 33435 and 33440. After we will calculate the factors of 33435 and 33440 and find the biggest common factor number .

Step-1: Prime Factorization of 33435

Prime factors of 33435 are 3, 5, 743. Prime factorization of 33435 in exponential form is:

33435 = 3² × 5¹ × 743¹

Step-2: 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-3: Factors of 33435

List of positive integer factors of 33435 that divides 33435 without a remainder.

1, 3, 5, 9, 15, 45, 743, 2229, 3715, 6687, 11145

Step-4: Factors of 33440

List of positive integer factors of 33440 that divides 33435 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33435 and 33440. The biggest common factor number is the GCF number.
So the greatest common factor 33435 and 33440 is 5.

Also check out the Least Common Multiple of 33435 and 33440