Greatest Common Factor of 3328 and 3335

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 3328, 3335 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3328 and 3335 is 1.

GCF(3328,3335) = 1

GCF of 3328 and 3335

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

GCF of:
and

Greatest Common Factor of 3328 and 3335

GCF of 3328 and 3335 is 1

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

Prime Factorization of 3335


5 3335
23 667
29 29
1

Prime factors of 3335 are 5,23,29. Prime factorization of 3335 in exponential form is:

3335 = 51×231×291

∴ So by taking common prime factors GCF of 3328 and 3335 is 1

Greatest Common Factor of 3328 and 3335 by matching factors method

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

Factors of 3335

List of positive integer factors of 3335 that divides 3335 without a remainder.

1,5,23,29,115,145,667,3335

Greatest Common Factor

We found the factors and prime factorization of 3328 and 3335. The biggest common factor number is the GCF number.
So the greatest common factor 3328 and 3335 is 1.

Also check out the Least Common Multiple of 3328 and 3335

Properties of GCF 3328 and 3335

(i) The GCF of 3328 and 3335 is associative

GCF of 3328 and 3335 = GCF of 3335 and 3328

Related Greatest Common Factor of 3328

Related Greatest Common Factor of 3335

Frequently Asked Questions on GCF of 3328 and 3335

1. What is the GCF of 3328 and 3335?

Answer: GCF of 3328 and 3335 is 1.

2. 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.

3. What are the Factors of 3335?

Answer: Factors of 3335 are 1, 5, 23, 29, 115, 145, 667, 3335. There are 8 integers that are factors of 3335. The greatest factor of 3335 is 3335.

4. How to Find the GCF of 3328 and 3335?

Answer:

Greatest Common Factor of 3328 and 3335 = 1

Step 1: 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 2: Find the prime factorization of 3335

3335 = 5 x 23 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3328 and 3335 is 1