What is the Greatest Common Factor of 33354 and 33368?

Greatest common factor (GCF) of 33354 and 33368 is 2.

GCF(33354,33368) = 2

We will now calculate the prime factors of 33354 and 33368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33354 and 33368.

How to find the GCF of 33354 and 33368?

We will first find the prime factorization of 33354 and 33368. After we will calculate the factors of 33354 and 33368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33368

Prime factors of 33368 are 2, 43, 97. Prime factorization of 33368 in exponential form is:

33368 = 2³ × 43¹ × 97¹

Step-3: Factors of 33354

List of positive integer factors of 33354 that divides 33354 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

Step-4: Factors of 33368

List of positive integer factors of 33368 that divides 33354 without a remainder.

1, 2, 4, 8, 43, 86, 97, 172, 194, 344, 388, 776, 4171, 8342, 16684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33354 and 33368. The biggest common factor number is the GCF number.
So the greatest common factor 33354 and 33368 is 2.

Also check out the Least Common Multiple of 33354 and 33368