Greatest Common Factor of 3334 and 3342

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, 3342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3334 and 3342 is 2.

GCF(3334,3342) = 2

GCF of 3334 and 3342

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

GCF of:
and

Greatest Common Factor of 3334 and 3342

GCF of 3334 and 3342 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 3342


2 3342
3 1671
557 557
1

Prime factors of 3342 are 2,3,557. Prime factorization of 3342 in exponential form is:

3342 = 21×31×5571

∴ So by taking common prime factors GCF of 3334 and 3342 is 2

Greatest Common Factor of 3334 and 3342 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 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1,2,3,6,557,1114,1671,3342

Greatest Common Factor

We found the factors and prime factorization of 3334 and 3342. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3342 is 2.

Also check out the Least Common Multiple of 3334 and 3342

Properties of GCF 3334 and 3342

(i) The GCF of 3334 and 3342 is associative

GCF of 3334 and 3342 = GCF of 3342 and 3334

Related Greatest Common Factor of 3334

Related Greatest Common Factor of 3342

Frequently Asked Questions on GCF of 3334 and 3342

1. What is the GCF of 3334 and 3342?

Answer: GCF of 3334 and 3342 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 3342?

Answer: Factors of 3342 are 1, 2, 3, 6, 557, 1114, 1671, 3342. There are 8 integers that are factors of 3342. The greatest factor of 3342 is 3342.

4. How to Find the GCF of 3334 and 3342?

Answer:

Greatest Common Factor of 3334 and 3342 = 2

Step 1: Find the prime factorization of 3334

3334 = 2 x 1667

Step 2: Find the prime factorization of 3342

3342 = 2 x 3 x 557

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 3342 is 2