What is the Greatest Common Factor of 33337 and 33354?

Greatest common factor (GCF) of 33337 and 33354 is 17.

GCF(33337,33354) = 17

We will now calculate the prime factors of 33337 and 33354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33337 and 33354.

How to find the GCF of 33337 and 33354?

We will first find the prime factorization of 33337 and 33354. After we will calculate the factors of 33337 and 33354 and find the biggest common factor number .

Step-1: Prime Factorization of 33337

Prime factors of 33337 are 17, 37, 53. Prime factorization of 33337 in exponential form is:

33337 = 17¹ × 37¹ × 53¹

Step-2: Prime Factorization of 33354

Prime factors of 33354 are 2, 3, 17, 109. Prime factorization of 33354 in exponential form is:

33354 = 2¹ × 3² × 17¹ × 109¹

Step-3: Factors of 33337

List of positive integer factors of 33337 that divides 33337 without a remainder.

1, 17, 37, 53, 629, 901, 1961

Step-4: Factors of 33354

List of positive integer factors of 33354 that divides 33337 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 109, 153, 218, 306, 327, 654, 981, 1853, 1962, 3706, 5559, 11118, 16677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33337 and 33354. The biggest common factor number is the GCF number.
So the greatest common factor 33337 and 33354 is 17.

Also check out the Least Common Multiple of 33337 and 33354