Greatest Common Factor of 3334 and 3336

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, 3336 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3334 and 3336 is 2.

GCF(3334,3336) = 2

GCF of 3334 and 3336

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

GCF of:
and

Greatest Common Factor of 3334 and 3336

GCF of 3334 and 3336 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 3336


2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 3336 are 2,3,139. Prime factorization of 3336 in exponential form is:

3336 = 23×31×1391

∴ So by taking common prime factors GCF of 3334 and 3336 is 2

Greatest Common Factor of 3334 and 3336 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 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336

Greatest Common Factor

We found the factors and prime factorization of 3334 and 3336. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3336 is 2.

Also check out the Least Common Multiple of 3334 and 3336

Properties of GCF 3334 and 3336

(i) The GCF of 3334 and 3336 is associative

GCF of 3334 and 3336 = GCF of 3336 and 3334

Related Greatest Common Factor of 3334

Related Greatest Common Factor of 3336

Frequently Asked Questions on GCF of 3334 and 3336

1. What is the GCF of 3334 and 3336?

Answer: GCF of 3334 and 3336 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 3336?

Answer: Factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. There are 16 integers that are factors of 3336. The greatest factor of 3336 is 3336.

4. How to Find the GCF of 3334 and 3336?

Answer:

Greatest Common Factor of 3334 and 3336 = 2

Step 1: Find the prime factorization of 3334

3334 = 2 x 1667

Step 2: Find the prime factorization of 3336

3336 = 2 x 2 x 2 x 3 x 139

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 3336 is 2