What is the Greatest Common Factor of 33354 and 33372?

Greatest common factor (GCF) of 33354 and 33372 is 18.

GCF(33354,33372) = 18

We will now calculate the prime factors of 33354 and 33372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33354 and 33372.

How to find the GCF of 33354 and 33372?

We will first find the prime factorization of 33354 and 33372. After we will calculate the factors of 33354 and 33372 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 33372

Prime factors of 33372 are 2, 3, 103. Prime factorization of 33372 in exponential form is:

33372 = 2² × 3⁴ × 103¹

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 33372

List of positive integer factors of 33372 that divides 33354 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 103, 108, 162, 206, 309, 324, 412, 618, 927, 1236, 1854, 2781, 3708, 5562, 8343, 11124, 16686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33354 and 33372. The biggest common factor number is the GCF number.
So the greatest common factor 33354 and 33372 is 18.

Also check out the Least Common Multiple of 33354 and 33372