Greatest Common Factor of 3334 and 3338

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 3334, 3338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3334 and 3338 is 2.

GCF(3334,3338) = 2

GCF of 3334 and 3338

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

GCF of:
and

Greatest Common Factor of 3334 and 3338

GCF of 3334 and 3338 is 2

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

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

∴ So by taking common prime factors GCF of 3334 and 3338 is 2

Greatest Common Factor of 3334 and 3338 by matching factors method

Factors of 3334

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

1,2,1667,3334

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1,2,1669,3338

Greatest Common Factor

We found the factors and prime factorization of 3334 and 3338. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3338 is 2.

Also check out the Least Common Multiple of 3334 and 3338

Properties of GCF 3334 and 3338

(i) The GCF of 3334 and 3338 is associative

GCF of 3334 and 3338 = GCF of 3338 and 3334

Related Greatest Common Factor of 3334

Related Greatest Common Factor of 3338

Frequently Asked Questions on GCF of 3334 and 3338

1. What is the GCF of 3334 and 3338?

Answer: GCF of 3334 and 3338 is 2.

2. 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.

3. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

4. How to Find the GCF of 3334 and 3338?

Answer:

Greatest Common Factor of 3334 and 3338 = 2

Step 1: Find the prime factorization of 3334

3334 = 2 x 1667

Step 2: Find the prime factorization of 3338

3338 = 2 x 1669

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 3334 and 3338 is 2