What is the Greatest Common Factor of 33421 and 33440?

Greatest common factor (GCF) of 33421 and 33440 is 19.

GCF(33421,33440) = 19

We will now calculate the prime factors of 33421 and 33440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33421 and 33440.

How to find the GCF of 33421 and 33440?

We will first find the prime factorization of 33421 and 33440. After we will calculate the factors of 33421 and 33440 and find the biggest common factor number .

Step-1: Prime Factorization of 33421

Prime factors of 33421 are 19, 1759. Prime factorization of 33421 in exponential form is:

33421 = 19¹ × 1759¹

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 33421

List of positive integer factors of 33421 that divides 33421 without a remainder.

1, 19, 1759

Step-4: Factors of 33440

List of positive integer factors of 33440 that divides 33421 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 33421 and 33440. The biggest common factor number is the GCF number.
So the greatest common factor 33421 and 33440 is 19.

Also check out the Least Common Multiple of 33421 and 33440