What is the Greatest Common Factor of 33354 and 33360?

Greatest common factor (GCF) of 33354 and 33360 is 6.

GCF(33354,33360) = 6

We will now calculate the prime factors of 33354 and 33360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33354 and 33360.

How to find the GCF of 33354 and 33360?

We will first find the prime factorization of 33354 and 33360. After we will calculate the factors of 33354 and 33360 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 33360

Prime factors of 33360 are 2, 3, 5, 139. Prime factorization of 33360 in exponential form is:

33360 = 2⁴ × 3¹ × 5¹ × 139¹

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 33360

List of positive integer factors of 33360 that divides 33354 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 139, 240, 278, 417, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 5560, 6672, 8340, 11120, 16680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33354 and 33360. The biggest common factor number is the GCF number.
So the greatest common factor 33354 and 33360 is 6.

Also check out the Least Common Multiple of 33354 and 33360