Greatest Common Factor of 33320 and 33328

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 33320, 33328 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33320 and 33328 is 8.

GCF(33320,33328) = 8

GCF of 33320 and 33328

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

GCF of:
and

Greatest Common Factor of 33320 and 33328

GCF of 33320 and 33328 is 8

Prime Factorization of 33320


2 33320
2 16660
2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 33320 are 2,5,7,17. Prime factorization of 33320 in exponential form is:

33320 = 23×51×72×171

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

∴ So by taking common prime factors GCF of 33320 and 33328 is 8

Greatest Common Factor of 33320 and 33328 by matching factors method

Factors of 33320

List of positive integer factors of 33320 that divides 33320 without a remainder.

1,2,4,5,7,8,10,14,17,20,28,34,35,40,49,56,68,70,85,98,119,136,140,170,196,238,245,280,340,392,476,490,595,680,833,952,980,1190,1666,1960,2380,3332,4165,4760,6664,8330,16660,33320

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

Greatest Common Factor

We found the factors and prime factorization of 33320 and 33328. The biggest common factor number is the GCF number.
So the greatest common factor 33320 and 33328 is 8.

Also check out the Least Common Multiple of 33320 and 33328

Properties of GCF 33320 and 33328

(i) The GCF of 33320 and 33328 is associative

GCF of 33320 and 33328 = GCF of 33328 and 33320

Related Greatest Common Factor of 33320

Related Greatest Common Factor of 33328

Frequently Asked Questions on GCF of 33320 and 33328

1. What is the GCF of 33320 and 33328?

Answer: GCF of 33320 and 33328 is 8.

2. What are the Factors of 33320?

Answer: Factors of 33320 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 85, 98, 119, 136, 140, 170, 196, 238, 245, 280, 340, 392, 476, 490, 595, 680, 833, 952, 980, 1190, 1666, 1960, 2380, 3332, 4165, 4760, 6664, 8330, 16660, 33320. There are 48 integers that are factors of 33320. The greatest factor of 33320 is 33320.

3. 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.

4. How to Find the GCF of 33320 and 33328?

Answer:

Greatest Common Factor of 33320 and 33328 = 8

Step 1: Find the prime factorization of 33320

33320 = 2 x 2 x 2 x 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 33328

33328 = 2 x 2 x 2 x 2 x 2083

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 33320 and 33328 is 8