Greatest Common Factor of 3334 and 3337

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, 3337 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3334 and 3337 is 1.

GCF(3334,3337) = 1

GCF of 3334 and 3337

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

GCF of:
and

Greatest Common Factor of 3334 and 3337

GCF of 3334 and 3337 is 1

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 3337


47 3337
71 71
1

Prime factors of 3337 are 47,71. Prime factorization of 3337 in exponential form is:

3337 = 471×711

∴ So by taking common prime factors GCF of 3334 and 3337 is 1

Greatest Common Factor of 3334 and 3337 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 3337

List of positive integer factors of 3337 that divides 3337 without a remainder.

1,47,71,3337

Greatest Common Factor

We found the factors and prime factorization of 3334 and 3337. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3337 is 1.

Also check out the Least Common Multiple of 3334 and 3337

Properties of GCF 3334 and 3337

(i) The GCF of 3334 and 3337 is associative

GCF of 3334 and 3337 = GCF of 3337 and 3334

Related Greatest Common Factor of 3334

Related Greatest Common Factor of 3337

Frequently Asked Questions on GCF of 3334 and 3337

1. What is the GCF of 3334 and 3337?

Answer: GCF of 3334 and 3337 is 1.

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 3337?

Answer: Factors of 3337 are 1, 47, 71, 3337. There are 4 integers that are factors of 3337. The greatest factor of 3337 is 3337.

4. How to Find the GCF of 3334 and 3337?

Answer:

Greatest Common Factor of 3334 and 3337 = 1

Step 1: Find the prime factorization of 3334

3334 = 2 x 1667

Step 2: Find the prime factorization of 3337

3337 = 47 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3334 and 3337 is 1