Greatest Common Factor of 3410 and 3414

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 3410, 3414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3410 and 3414 is 2.

GCF(3410,3414) = 2

GCF of 3410 and 3414

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

GCF of:
and

Greatest Common Factor of 3410 and 3414

GCF of 3410 and 3414 is 2

Prime Factorization of 3410


2 3410
5 1705
11 341
31 31
1

Prime factors of 3410 are 2,5,11,31. Prime factorization of 3410 in exponential form is:

3410 = 21×51×111×311

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2,3,569. Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

∴ So by taking common prime factors GCF of 3410 and 3414 is 2

Greatest Common Factor of 3410 and 3414 by matching factors method

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors and prime factorization of 3410 and 3414. The biggest common factor number is the GCF number.
So the greatest common factor 3410 and 3414 is 2.

Also check out the Least Common Multiple of 3410 and 3414

Properties of GCF 3410 and 3414

(i) The GCF of 3410 and 3414 is associative

GCF of 3410 and 3414 = GCF of 3414 and 3410

Related Greatest Common Factor of 3410

Related Greatest Common Factor of 3414

Frequently Asked Questions on GCF of 3410 and 3414

1. What is the GCF of 3410 and 3414?

Answer: GCF of 3410 and 3414 is 2.

2. What are the Factors of 3410?

Answer: Factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. There are 16 integers that are factors of 3410. The greatest factor of 3410 is 3410.

3. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

4. How to Find the GCF of 3410 and 3414?

Answer:

Greatest Common Factor of 3410 and 3414 = 2

Step 1: Find the prime factorization of 3410

3410 = 2 x 5 x 11 x 31

Step 2: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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 3410 and 3414 is 2