Greatest Common Factor of 3322 and 3326

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 3322, 3326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3322 and 3326 is 2.

GCF(3322,3326) = 2

GCF of 3322 and 3326

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

GCF of:
and

Greatest Common Factor of 3322 and 3326

GCF of 3322 and 3326 is 2

Prime Factorization of 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2,11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

Prime Factorization of 3326


2 3326
1663 1663
1

Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:

3326 = 21×16631

∴ So by taking common prime factors GCF of 3322 and 3326 is 2

Greatest Common Factor of 3322 and 3326 by matching factors method

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1,2,1663,3326

Greatest Common Factor

We found the factors and prime factorization of 3322 and 3326. The biggest common factor number is the GCF number.
So the greatest common factor 3322 and 3326 is 2.

Also check out the Least Common Multiple of 3322 and 3326

Properties of GCF 3322 and 3326

(i) The GCF of 3322 and 3326 is associative

GCF of 3322 and 3326 = GCF of 3326 and 3322

Frequently Asked Questions on GCF of 3322 and 3326

1. What is the GCF of 3322 and 3326?

Answer: GCF of 3322 and 3326 is 2.

2. What are the Factors of 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

3. What are the Factors of 3326?

Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.

4. How to Find the GCF of 3322 and 3326?

Answer:

Greatest Common Factor of 3322 and 3326 = 2

Step 1: Find the prime factorization of 3322

3322 = 2 x 11 x 151

Step 2: Find the prime factorization of 3326

3326 = 2 x 1663

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 3322 and 3326 is 2