Greatest Common Factor of 3367 and 3374

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 3367, 3374 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3367 and 3374 is 7.

GCF(3367,3374) = 7

GCF of 3367 and 3374

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

GCF of:
and

Greatest Common Factor of 3367 and 3374

GCF of 3367 and 3374 is 7

Prime Factorization of 3367


7 3367
13 481
37 37
1

Prime factors of 3367 are 7,13,37. Prime factorization of 3367 in exponential form is:

3367 = 71×131×371

Prime Factorization of 3374


2 3374
7 1687
241 241
1

Prime factors of 3374 are 2,7,241. Prime factorization of 3374 in exponential form is:

3374 = 21×71×2411

∴ So by taking common prime factors GCF of 3367 and 3374 is 7

Greatest Common Factor of 3367 and 3374 by matching factors method

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1,7,13,37,91,259,481,3367

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1,2,7,14,241,482,1687,3374

Greatest Common Factor

We found the factors and prime factorization of 3367 and 3374. The biggest common factor number is the GCF number.
So the greatest common factor 3367 and 3374 is 7.

Also check out the Least Common Multiple of 3367 and 3374

Properties of GCF 3367 and 3374

(i) The GCF of 3367 and 3374 is associative

GCF of 3367 and 3374 = GCF of 3374 and 3367

Related Greatest Common Factor of 3367

Related Greatest Common Factor of 3374

Frequently Asked Questions on GCF of 3367 and 3374

1. What is the GCF of 3367 and 3374?

Answer: GCF of 3367 and 3374 is 7.

2. What are the Factors of 3367?

Answer: Factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367. There are 8 integers that are factors of 3367. The greatest factor of 3367 is 3367.

3. What are the Factors of 3374?

Answer: Factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374. There are 8 integers that are factors of 3374. The greatest factor of 3374 is 3374.

4. How to Find the GCF of 3367 and 3374?

Answer:

Greatest Common Factor of 3367 and 3374 = 7

Step 1: Find the prime factorization of 3367

3367 = 7 x 13 x 37

Step 2: Find the prime factorization of 3374

3374 = 2 x 7 x 241

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3367 and 3374 is 7