Greatest Common Factor of 3328 and 3334

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, 3334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3328 and 3334 is 2.

GCF(3328,3334) = 2

GCF of 3328 and 3334

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

GCF of:
and

Greatest Common Factor of 3328 and 3334

GCF of 3328 and 3334 is 2

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 3334


2 3334
1667 1667
1

Prime factors of 3334 are 2,1667. Prime factorization of 3334 in exponential form is:

3334 = 21×16671

∴ So by taking common prime factors GCF of 3328 and 3334 is 2

Greatest Common Factor of 3328 and 3334 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 3334

List of positive integer factors of 3334 that divides 3334 without a remainder.

1,2,1667,3334

Greatest Common Factor

We found the factors and prime factorization of 3328 and 3334. The biggest common factor number is the GCF number.
So the greatest common factor 3328 and 3334 is 2.

Also check out the Least Common Multiple of 3328 and 3334

Properties of GCF 3328 and 3334

(i) The GCF of 3328 and 3334 is associative

GCF of 3328 and 3334 = GCF of 3334 and 3328

Related Greatest Common Factor of 3328

Related Greatest Common Factor of 3334

Frequently Asked Questions on GCF of 3328 and 3334

1. What is the GCF of 3328 and 3334?

Answer: GCF of 3328 and 3334 is 2.

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 3334?

Answer: Factors of 3334 are 1, 2, 1667, 3334. There are 4 integers that are factors of 3334. The greatest factor of 3334 is 3334.

4. How to Find the GCF of 3328 and 3334?

Answer:

Greatest Common Factor of 3328 and 3334 = 2

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 3334

3334 = 2 x 1667

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 3328 and 3334 is 2