Greatest Common Factor of 33316 and 33320

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 33316, 33320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33316 and 33320 is 4.

GCF(33316,33320) = 4

GCF of 33316 and 33320

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

GCF of:
and

Greatest Common Factor of 33316 and 33320

GCF of 33316 and 33320 is 4

Prime Factorization of 33316


2 33316
2 16658
8329 8329
1

Prime factors of 33316 are 2,8329. Prime factorization of 33316 in exponential form is:

33316 = 22×83291

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

∴ So by taking common prime factors GCF of 33316 and 33320 is 4

Greatest Common Factor of 33316 and 33320 by matching factors method

Factors of 33316

List of positive integer factors of 33316 that divides 33316 without a remainder.

1,2,4,8329,16658,33316

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

Greatest Common Factor

We found the factors and prime factorization of 33316 and 33320. The biggest common factor number is the GCF number.
So the greatest common factor 33316 and 33320 is 4.

Also check out the Least Common Multiple of 33316 and 33320

Properties of GCF 33316 and 33320

(i) The GCF of 33316 and 33320 is associative

GCF of 33316 and 33320 = GCF of 33320 and 33316

Related Greatest Common Factor of 33316

Related Greatest Common Factor of 33320

Frequently Asked Questions on GCF of 33316 and 33320

1. What is the GCF of 33316 and 33320?

Answer: GCF of 33316 and 33320 is 4.

2. What are the Factors of 33316?

Answer: Factors of 33316 are 1, 2, 4, 8329, 16658, 33316. There are 6 integers that are factors of 33316. The greatest factor of 33316 is 33316.

3. 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.

4. How to Find the GCF of 33316 and 33320?

Answer:

Greatest Common Factor of 33316 and 33320 = 4

Step 1: Find the prime factorization of 33316

33316 = 2 x 2 x 8329

Step 2: Find the prime factorization of 33320

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 33316 and 33320 is 4