Greatest Common Factor of 33328 and 33330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 33328, 33330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33328 and 33330 is 2.

GCF(33328,33330) = 2

GCF of 33328 and 33330

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 33328 and 33330

GCF of 33328 and 33330 is 2

Prime Factorization of 33328


2 33328
2 16664
2 8332
2 4166
2083 2083
1

Prime factors of 33328 are 2,2083. Prime factorization of 33328 in exponential form is:

33328 = 24×20831

Prime Factorization of 33330


2 33330
3 16665
5 5555
11 1111
101 101
1

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

33330 = 21×31×51×111×1011

∴ So by taking common prime factors GCF of 33328 and 33330 is 2

Greatest Common Factor of 33328 and 33330 by matching factors method

Factors of 33328

List of positive integer factors of 33328 that divides 33328 without a remainder.

1,2,4,8,16,2083,4166,8332,16664,33328

Factors of 33330

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

1,2,3,5,6,10,11,15,22,30,33,55,66,101,110,165,202,303,330,505,606,1010,1111,1515,2222,3030,3333,5555,6666,11110,16665,33330

Greatest Common Factor

We found the factors and prime factorization of 33328 and 33330. The biggest common factor number is the GCF number.
So the greatest common factor 33328 and 33330 is 2.

Also check out the Least Common Multiple of 33328 and 33330

Properties of GCF 33328 and 33330

(i) The GCF of 33328 and 33330 is associative

GCF of 33328 and 33330 = GCF of 33330 and 33328

Related Greatest Common Factor of 33328

Related Greatest Common Factor of 33330

Frequently Asked Questions on GCF of 33328 and 33330

1. What is the GCF of 33328 and 33330?

Answer: GCF of 33328 and 33330 is 2.

2. What are the Factors of 33328?

Answer: Factors of 33328 are 1, 2, 4, 8, 16, 2083, 4166, 8332, 16664, 33328. There are 10 integers that are factors of 33328. The greatest factor of 33328 is 33328.

3. What are the Factors of 33330?

Answer: Factors of 33330 are 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, 33330. There are 32 integers that are factors of 33330. The greatest factor of 33330 is 33330.

4. How to Find the GCF of 33328 and 33330?

Answer:

Greatest Common Factor of 33328 and 33330 = 2

Step 1: Find the prime factorization of 33328

33328 = 2 x 2 x 2 x 2 x 2083

Step 2: Find the prime factorization of 33330

33330 = 2 x 3 x 5 x 11 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 33328 and 33330 is 2