Greatest Common Factor of 3316 and 3322

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 3316, 3322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3316 and 3322 is 2.

GCF(3316,3322) = 2

GCF of 3316 and 3322

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

GCF of:
and

Greatest Common Factor of 3316 and 3322

GCF of 3316 and 3322 is 2

Prime Factorization of 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

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

∴ So by taking common prime factors GCF of 3316 and 3322 is 2

Greatest Common Factor of 3316 and 3322 by matching factors method

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Factors of 3322

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

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

Greatest Common Factor

We found the factors and prime factorization of 3316 and 3322. The biggest common factor number is the GCF number.
So the greatest common factor 3316 and 3322 is 2.

Also check out the Least Common Multiple of 3316 and 3322

Properties of GCF 3316 and 3322

(i) The GCF of 3316 and 3322 is associative

GCF of 3316 and 3322 = GCF of 3322 and 3316

Related Greatest Common Factor of 3316

Related Greatest Common Factor of 3322

Frequently Asked Questions on GCF of 3316 and 3322

1. What is the GCF of 3316 and 3322?

Answer: GCF of 3316 and 3322 is 2.

2. What are the Factors of 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

3. 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.

4. How to Find the GCF of 3316 and 3322?

Answer:

Greatest Common Factor of 3316 and 3322 = 2

Step 1: Find the prime factorization of 3316

3316 = 2 x 2 x 829

Step 2: Find the prime factorization of 3322

3322 = 2 x 11 x 151

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 3316 and 3322 is 2