Greatest Common Factor of 3320 and 3328

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 3320, 3328 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3320 and 3328 is 8.

GCF(3320,3328) = 8

GCF of 3320 and 3328

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

GCF of:
and

Greatest Common Factor of 3320 and 3328

GCF of 3320 and 3328 is 8

Prime Factorization of 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2,5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

Prime Factorization of 3328


2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 3328 are 2,13. Prime factorization of 3328 in exponential form is:

3328 = 28×131

∴ So by taking common prime factors GCF of 3320 and 3328 is 8

Greatest Common Factor of 3320 and 3328 by matching factors method

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

Factors of 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Greatest Common Factor

We found the factors and prime factorization of 3320 and 3328. The biggest common factor number is the GCF number.
So the greatest common factor 3320 and 3328 is 8.

Also check out the Least Common Multiple of 3320 and 3328

Properties of GCF 3320 and 3328

(i) The GCF of 3320 and 3328 is associative

GCF of 3320 and 3328 = GCF of 3328 and 3320

Related Greatest Common Factor of 3320

Related Greatest Common Factor of 3328

Frequently Asked Questions on GCF of 3320 and 3328

1. What is the GCF of 3320 and 3328?

Answer: GCF of 3320 and 3328 is 8.

2. What are the Factors of 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

3. What are the Factors of 3328?

Answer: Factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328. There are 18 integers that are factors of 3328. The greatest factor of 3328 is 3328.

4. How to Find the GCF of 3320 and 3328?

Answer:

Greatest Common Factor of 3320 and 3328 = 8

Step 1: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

Step 2: Find the prime factorization of 3328

3328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

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 3320 and 3328 is 8