Greatest Common Factor of 3374 and 3379

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 3374, 3379 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3374 and 3379 is 1.

GCF(3374,3379) = 1

GCF of 3374 and 3379

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

GCF of:
and

Greatest Common Factor of 3374 and 3379

GCF of 3374 and 3379 is 1

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

Prime Factorization of 3379


31 3379
109 109
1

Prime factors of 3379 are 31,109. Prime factorization of 3379 in exponential form is:

3379 = 311×1091

∴ So by taking common prime factors GCF of 3374 and 3379 is 1

Greatest Common Factor of 3374 and 3379 by matching factors method

Factors of 3374

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

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

Factors of 3379

List of positive integer factors of 3379 that divides 3379 without a remainder.

1,31,109,3379

Greatest Common Factor

We found the factors and prime factorization of 3374 and 3379. The biggest common factor number is the GCF number.
So the greatest common factor 3374 and 3379 is 1.

Also check out the Least Common Multiple of 3374 and 3379

Properties of GCF 3374 and 3379

(i) The GCF of 3374 and 3379 is associative

GCF of 3374 and 3379 = GCF of 3379 and 3374

Related Greatest Common Factor of 3374

Related Greatest Common Factor of 3379

Frequently Asked Questions on GCF of 3374 and 3379

1. What is the GCF of 3374 and 3379?

Answer: GCF of 3374 and 3379 is 1.

2. 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.

3. What are the Factors of 3379?

Answer: Factors of 3379 are 1, 31, 109, 3379. There are 4 integers that are factors of 3379. The greatest factor of 3379 is 3379.

4. How to Find the GCF of 3374 and 3379?

Answer:

Greatest Common Factor of 3374 and 3379 = 1

Step 1: Find the prime factorization of 3374

3374 = 2 x 7 x 241

Step 2: Find the prime factorization of 3379

3379 = 31 x 109

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 3374 and 3379 is 1