What is the Greatest Common Factor of 33429 and 33440?

Greatest common factor (GCF) of 33429 and 33440 is 11.

GCF(33429,33440) = 11

We will now calculate the prime factors of 33429 and 33440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33429 and 33440.

How to find the GCF of 33429 and 33440?

We will first find the prime factorization of 33429 and 33440. After we will calculate the factors of 33429 and 33440 and find the biggest common factor number .

Step-1: Prime Factorization of 33429

Prime factors of 33429 are 3, 11, 1013. Prime factorization of 33429 in exponential form is:

33429 = 3¹ × 11¹ × 1013¹

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 33429

List of positive integer factors of 33429 that divides 33429 without a remainder.

1, 3, 11, 33, 1013, 3039, 11143

Step-4: Factors of 33440

List of positive integer factors of 33440 that divides 33429 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 33429 and 33440. The biggest common factor number is the GCF number.
So the greatest common factor 33429 and 33440 is 11.

Also check out the Least Common Multiple of 33429 and 33440