What is the Greatest Common Factor of 33312 and 33330?

Greatest common factor (GCF) of 33312 and 33330 is 6.

GCF(33312,33330) = 6

We will now calculate the prime factors of 33312 and 33330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33312 and 33330.

How to find the GCF of 33312 and 33330?

We will first find the prime factorization of 33312 and 33330. After we will calculate the factors of 33312 and 33330 and find the biggest common factor number .

Step-1: Prime Factorization of 33312

Prime factors of 33312 are 2, 3, 347. Prime factorization of 33312 in exponential form is:

33312 = 2⁵ × 3¹ × 347¹

Step-2: Prime Factorization of 33330

Prime factors of 33330 are 2, 3, 5, 11, 101. Prime factorization of 33330 in exponential form is:

33330 = 2¹ × 3¹ × 5¹ × 11¹ × 101¹

Step-3: Factors of 33312

List of positive integer factors of 33312 that divides 33312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 347, 694, 1041, 1388, 2082, 2776, 4164, 5552, 8328, 11104, 16656

Step-4: Factors of 33330

List of positive integer factors of 33330 that divides 33312 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 101, 110, 165, 202, 303, 330, 505, 606, 1010, 1111, 1515, 2222, 3030, 3333, 5555, 6666, 11110, 16665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33312 and 33330. The biggest common factor number is the GCF number.
So the greatest common factor 33312 and 33330 is 6.

Also check out the Least Common Multiple of 33312 and 33330